Circle Formulas

Information:

• O = is the middle indicate of the circle
• OA = OB is the radius of the circle
• AB is the diameter
• The plication trouble of the CD is a round down arc
• The CD is a round down cord
• POQ archive is a circle juring
• The CSD archive is a circle tembereng
• OS is apothem

Formula of Circle Area

A = π r²

Information
A = Area
r = Jari-jari

Formula of circumference Circle

C = 2πr

Information:
C = Circumference Circle
r = radius

Length of Circular Arc Formula

Arc length = a / 360 10 two phi r

Information:
a = large corner of the middle of the circle
r = radius

Formula of juring Area Circle

Juring Area = a/360 10 πr²

Information:
a = Large corner of middle of circle
r = radius

Formula of Circumference Juring Circle

Circumference Juring = length of arc + 2r

Information:
r = Radius

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The cease of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting too sales

Area As Well As Circumference Formula Of Trapezoidal

Trapezoid at that topographic point are three kinds, including:
1. Trapezoid Any
An arbitrary trapezoid has solely parallel sides.

2. Trapezium Equal Legs

Characteristics:

• Has ane twosome of parallel sides.
• Has ane side pairs of the same length (trapezoidal human foot AD = BC).
• Has 2 pairs of angles equal ∠A = ∠B = x as well as ∠D = ∠C.

3. Trapezoidal Bracket

Trapezoidal bracket is a trapezoid whose 2 corners are elbow.

Formula of Trapezoidal Area

Trapezoidal Area = 1/2 (number of parallel sides) x height

Example Question of Trapezoidal Area

Please possess upwards one's hear the trapezoidal surface area amongst parallel sides of 12cm and 18cm each as well as 10cm in height!

Answer:
Number of parallel sides = 12cm + 18cm = 30cm
Height = 10cm

Trapezoidal Area = 1/2 (number of parallel sides) x height
Trapezoidal Area = 1/2 (30cm) x 10cm
Trapezoidal Area = 1/2 x 300cm²
Trapezoidal Area = 150cm²

So the trapezoidal surface area is 150cm²

Formula of Circumference Trapezoidal

Circumference Trapezoidal = The length of the 4 sides

Example of Circumference Trapezoidal

What is the trapezoidal circumference below!

Answer:
AB = 15cm
BC = 10cm
CD = 27cm
AD = 10cm

Circumference Trapezoidal = The length of the 4 sides
Circumference Trapezoidal = AB + BC + CD + AD
Circumference Trapezoidal = 15cm + 10cm + 27cm + 10cm
Circumference Trapezoidal = 52cm

So the circumference of the trapezoid is 52cm.

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The destination of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's mass math grouping accounting as well as sales

Area Too Circumference Formula Of Kite

Kite properties

The next are the properties of the kite, including:

• The side past times side sides are the same length AD = AB together with DC = BC
• Both diagonals intersect a perpendicular cross
• DO = OB together with ∠ADC = ∠ABC

Formula of Kite Area

Kite Area = 1/2 10 air-conditioning 10 BD

Information:
For air-conditioning together with BD tin live on seen on the inwards a higher house kite drawing.

Example Question of Kite Area

What is the expanse of the kite below?

Answer:
AC = 5cm + 1cm = 6cm
BD = 2cm + 2cm = 4cm

Kite Area = 1/2 10 air-conditioning 10 BD
Kite Area = 1/2 10 6cm 10 4cm
Kite Area = 1/2 10 24cm²
Kite Area = 12cm²

So the expanse of the kite inwards the ikon inwards a higher house is 12cm²

Formula of Circumference Kite

C = 2x + 2y

Information:
C = Kelilng kite
x together with y tin live on seen inwards the inwards a higher house kite drawing

Example Question of Circumference Kite

What is the circumference of the kite below?

Answer:
x = 2cm
y = 5cm

C = 2x + 2y
C = 2(2cm) + 2(5cm)
C = 4cm + 7cm
C = 11cm

So the circumference of the kite is 11cm.

Similarly this article.
Sorry if at that spot is a incorrect word.
The goal of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting together with sales

Area As Well As Circumference Formula Of Rhombus

Rhombus properties

So the properties of rhomb are equally follows:

• The 4 sides are the same length
• The contrary corners are equally large ∠D = ∠B ∠C = ∠A
• It has 2 diagonals that portion 2 equal lengths
• The 2 diagonals intersect each other perpendicularly.

Formula of Rhombus Area

A = 1/2 10 air conditioning 10 BD

Information:
A = Area

Example Question of Rhombus Area

What is the expanse of rhomb below ?

Answer:
AC = 2 + 2 = 4
BD = one + one = 2

A = 1/2 10 air conditioning 10 BD
A = 1/2 10 4 10 2
A = 1/2 10 8
A = 4

So the width of the rhomb is 4.

Formula of Circumference Rhombus

C = 4s

Information:
C = Circumference Rhombus
s = side

Example Question of Circumference Rhombus

What is the circumference of a rhomb that has 2cm sides?

Answer
s = 2cm

C = 4s
C = 4(2cm)
C = 8cm

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The destination of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's mass math grouping accounting together with sales

Area Together With Circumference Formula Of Parallelogram

Parallelogram Characteristics

These are the parallelogram characteristics, such as:

• The contrary sides are parallel in addition to the same length
• The contrary corners are equally large ∠D =∠B in addition to ∠C = ∠A
• It has 2 diagonals that part 2 equal lengths. AO = OC in addition to BO = OD

Formula of Parallelogram Area

A = p x t

Information
A = Area
p = Pedestal
h = High

Example Question of Parallelogram Area

What is the expanse of a parallelogram that has a 2cm and 3cm height?

Answer:
p = 2cm
h = 3cm

A = p x t
A = 2cm x 3cm
A = 6cm²

So the expanse of the parallelogram is 6cm²

Formula of Circumference Parallelogram

C = 2(AB + BC)

Information :
C = Circumference

Example Question of Circumference Parallelogram

What is the Circumference of parallelogram below?

Answer:
AB = 3cm
BC = 2cm

C = 2(AB + BC)
C = 2(3cm + 2cm)
C = 2(5cm)
C = 10cm

So the circumference of the parallelogram inward the picture higher upwardly is 10cm.

Similarly this article.
Sorry if in that place is a incorrect word.
The destination of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting in addition to sales

Area Too Circumference Formula Of Triangle

Various of Triangles

Here are all sorts of triangles, including:

• Right-angled triangle (one corner 90º)
• The equilateral triangle (both sides are the same length)
• Equilateral triangle (three sides of equal length)
• The pointed triangle (the 3rd triangle is pointed angle, a < 90º)
• Blunt triangle (a triangle inwards which 1 corner is a blunt corner, a > 90º)

Formula of Triangle Area

Information :
A = Tringular Area
p = pedestal
h = height

Example Question of Triangle Area

What is the surface area of a triangle having a 2cm together with 3cm height?

Answer:
p = 2cm
h = 3cm

A = (a x t)/2
A = (2cm x 3cm)/2
A = 6cm²/2
A = 3cm²

So the surface area of a triangle having a base of operations of 2cm and a superlative of 3cm is 3cm².

Formula of Circumference Triangle

C = air conditioning + CB + BA

Information
C = Circumference

Example Question of Circumference Triangle

What is the circumference of the triangle below!

Answer:
AC = 13cm
CB = 13cm
BA = 10cm

C = air conditioning + CB + BA
C = 13cm + 13cm + 10cm
C = 36cm

So The circumference of the triangle inwards a higher house is 36cm.

Similarly this article.
Sorry if in that place is a incorrect word.
The cease of discussion wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting together with sales

Area Together With Circumference Formula Of Rectangle

Rectangular Properties

These are the properties of the rectangle, amidst which are:

• The contrary sides are parallel as well as the same length.
• The 4 correct angles ∠a = ∠b = ∠c = ∠d.
• The 2 diagonals are the same length AC = BD (diagonal).
• It has 2 axes of symmetry.

Formula of Rectangle Area

A = fifty x w

Information:
A = Area
l = long
w = width

Example Question of Rectangle Area

What is the expanse of a rectangle that has a length of 3cm as well as a width of 2cm?

Answer:
l = 3cm
w = 2cm

A = p x l
A = 3cm x 2cm
A = 6cm²

So the expanse of a rectangle that has a length of 3cm as well as a width of 2cm is 6cm²

Formula of Circumference Rectangle

C = 2(P + l)

Information:
C = Circumference
l = Length
w = Width

Example Question of Circumference Rectangle

What is the circumference of a rectangle that has a length of 3cm and an expanse of 2cm?

Answer:
l = 3cm
W = 2cm

C = 2(P + l)
C = 2(3cm + 2cm)
C = 2(5cm)
C = 10cm

So the circumference of a foursquare that has a length of 3cm and a width of 2cm is 10cm.

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The goal of discussion wassalamualaikum wr. wb

Referensi :

• To'Ali's mass math grouping accounting as well as sales

Area Together With Circumference Formula Of Foursquare

Square Properties

The next are the properties of the square, amidst which are:

• The 4 sides are the same length AB = BC = CD = DA
• The 4 corners are right-angled ∠a = ∠b = ∠c = ∠d
• The 2 diagonals are the same length in addition to intersect inwards the middle. AC = BD (diagonal)
• It has 4 axes of symmetry

Formula of Square Area

A = s²

Information
A = Area
s = Side

Example Question of Square Area

What is the foursquare surface area with 2cm side?

Answer:
s = 2cm

A = s²
A = (2cm)²
A = 4cm²

So the foursquare surface area that has 2cm sides is 4cm²

Formula of Circumference Square

C = 4s

Information
C = Circumference square
s = sides

Example Question of Circumference Square

What is the circumference of a foursquare that has 2cm sides?

Answer:
s = 2cm

C = 4s
C = 4(2cm)
C = 8cm

So the circumference of a foursquare that has a side is 8cm.

Similarly this article.
Sorry if at that spot is a incorrect word.
The goal of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting in addition to sales

How To Alter Degrees To Radians Or Vice Versa

An angle measuring based on radian size is based on the supposition that:
"one radian = the magnitude of the optic corner of a circle bounded past times a round down arc equal inwards length to the radius"

If OA in addition to OB are radius = r in addition to arc AB is besides the length r in addition to thence ∠AOB is 1 radian. Generally nosotros already know that 1 plough = 360º in addition to the circumference of the circle k = 2πr, in addition to thence based on the comparing formula on the circle is valid:

So the means to alter degrees to radians is essentially based on the radian equation alongside the next degrees:
3.14 radians = 180º
1 radian = 57.3º

Example :
How much is 30º!

Answer:

So 30º = 0.524 radians.

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The cease of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's mass math grouping accounting in addition to sales

Angle Measuring Inwards Math

Definition of Angle

Angles are areas bounded yesteryear ii segments of lines in addition to dots. To mensurate the angle is unremarkably used alongside the Arc.

The angle higher upwards is given the angle a or ∠ ABC. To stimulate upwards one's heed the magnitude of the angle is unremarkably expressed yesteryear degrees (º) or radians.

Broadly speaking, the magnitude of an angle occurs into iii parts, including:

1. The pointed corner is an angle of less than 90º.
2. Angle-angled angle that is the angle of magnitude 90º.
3. Blunt corner is an angle greater than 90º.

How to mensurate the magnitude of the angle alongside the arc

to mensurate the angle yesteryear using the arc tin sack last done inward the next way:

1. Put the angle attached alongside the 0º line on the bow to 1 of the segments to last measured at the angle.
2. Place the catch betoken of the arc at the vertex in addition to the other segment is located within the bus.
3. Measure a large angle using a scale on the bow.

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The destination of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's mass math grouping accounting in addition to sales

Composition Of 2 Consecutive Translations

Determining a unmarried translation representing the composition of ii consecutive translations is the same every bit determining the resultant ii vectors. If the outset transactions of T₁ alongside the column vector (^a1 _b1) are thus followed past times the moment translational T₂ with the column vector (^a2 _b2), the unmarried translation representing the to a higher house composition is:

Note:

• The T₁ translation is continued past times T₂ translation equal to T₂ translation followed past times T₁ translation, ie (T₁ o T₂) = (T₂ o T₁). So the composition of ii translations is commutative.
• The map shadow of A(x, y) past times T₁ translation is continued past times T₁ translation denoted past times (T₂ o T₁) Influenza A virus subtype H5N1 (x, y).

Example:
Translations T₁ and T₂ each convey column vectors (² _-3) too (^-5 ₄), abide by (T₂ o T₁) Influenza A virus subtype H5N1 (-5, 1)!

Answer:

Similarly this article.
Sorry if in that place is a incorrect word.
The destination of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's mass math grouping accounting too sales

Composition Of 2 Consecutive Rotations Are Equal

Note the icon above, A' is a betoken A shadow past times rotation equally far equally α clock direction amongst centre P as well as A" is the shadow of betoken A' past times rotation equally far equally β clockwise amongst centre P also. it appears that the mapping from A to A" is (α + β) is clockwise amongst centre P. Thus nosotros tin strength out depict the conclusion:

Two consecutive rotations are equal to a rotation equally far equally the release of each of the master rotais of the same center.

Example:
A(-2, 6) is rotated equally far equally 65° clockwise amongst centre O followed past times a clockwise rotation of 70° amongst centre O equally well. Determine the betoken Influenza A virus subtype H5N1 shadow!

Answer:
a = -65° (clockwise)
B = -70°(clockwise)
a + B = -65° + (-70°)
a + b = -135°

The matrix of the inwards a higher house rotation composition is:

Specifying the shadow A is equally follows:

Similarly this article.
Sorry if in that place is a incorrect word.
The terminate of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting as well as sales

Dilatation Of Two-Dimensional Transformation

Dilatation is a transformation that resizes (enlarges or shrinks) a wake, precisely does non alter the shape of the wake.

Influenza A virus subtype H5N1 dilatation is determined by:

• Center dilated
• Dilatation component division or scale factor

1. Dilatation amongst middle O (0, 0)

Let P'(x', y') travel the shadow of the betoken P(x, y) past times dilation past times the scale component division k together with middle 0 every bit inwards the moving-picture present above.

Dilatation Formula amongst Center O(0, 0)

x' = kx + 0yy' = 0x + ky

2. Dilatation amongst Center P (a, b)

Dilatation amongst Center P(a, b) Let P'(x', y ') travel the shadow of the betoken P(x, y) past times dilation past times the scale component division k together with middle A(a, b) every bit shown above.

Dilatation Formula amongst Center P (a, b)

x' - a = k(x - a)y' - b = k(y - b)

Example:
Please lift one's hear the shadow from betoken A(-2, 4) later it is dilated past times a scale component division of -3 together with its middle P(3, -1)!

Answer:
x' - a = k(x - a)
x' - three = -3(-2 - 3)
x' - three = 15
x' - three + three = fifteen + 3
x' = 18

y' - b = k(y - b)
y' - (-1) = -3(4 - (-1))
y' + 1 = -15
y' + 1 - 1 = -15 - 1
y' = -16

together with therefore the shadow is A '(18, -16).

Similarly this article.
Sorry if at that spot is a incorrect word.
The halt of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting together with sales

Reflection Of Two-Dimensional Transformation

Reflection inwards mathematics is a transformation that moves every request on the bird past times using the grapheme of the mirror.

1. The reflection of the x-axis

Point A(x, y) is reflected on the x axis, as well as thus the picture obtained is A'(x, -y). For to a greater extent than details run into the flick below:

2. The reflection of the describe of piece of job x = h

Point A(x, y) is reflected on the describe of piece of job x = h, as well as thus the picture obtained is A '(2h - x, y). For to a greater extent than details run into the flick below:

3. The reflection of the y-axis

Point A(x, y) is reflected on the y-axis, as well as thus the picture obtained is A'(-x, y). For to a greater extent than details banking concern complaint the flick below:

4. The reflection of the describe of piece of job y = k

Point A(x, y) is reflected to the describe of piece of job y = k, the picture obtained is A'(x, 2k - y). For to a greater extent than details tin survive seen inwards the flick below:

5. The reflection of the describe of piece of job y = x

Point A(x, y) is reflected to the y = x axis, the picture obtained is A '(y, x). For to a greater extent than details tin survive seen inwards the flick below:

6. The reflection of the describe of piece of job y = -x

Point A(x, y) is reflected to the y-axis, as well as thus the picture obtained is A'(-y, -x). For to a greater extent than details run into the flick below:

7. The reflection of the starting point

Point A(x, y) is reflected to the base of operations request O(0, 0), as well as thus the picture obtained is A'(- x, -y). For to a greater extent than details run into the flick below:

8. The reflection to request P(a, b)

Point A(x, y) is reflected on the request P(a, b), as well as thus the picture obtained is A'(2a + x, 2b + y). For to a greater extent than details run into the flick below:

9. The reflection of the describe of piece of job x = h continues on the describe of piece of job x = k

Consider the flick above, using the reflection formula at x = h obtained A'(2h - x, y). By using the same prisnsip if A'(2h - x, y) is referenced to x = k, as well as thus it is obtained:
A"(2x - (2h - x), y) = A"(2(k - h) + x, y)

Note:
The reflection at x = h is continued x = k is non the same every bit the reflection at x = k is continued x = h or is non commutative.

10. Reflection on describe of piece of job y = h continues to describe of piece of job y = k

Consider the flick above, using the reflection formula at y = h obtained A'(x, 2h - y). By using the same regulation if H5N1 '(x, 2h - y) is reffered to y = k as well as thus it is obtained:
A"(x, 2k - (2h - y)) = A"(x, 2(k - h) + y)

11. Reflection on describe of piece of job x = h continues to describe of piece of job y = k

Consider the picture above, using the reflection formula at x = h obtained A'(2h - x, y). Using the same regulation if A'(2h - x, y) is referenced to y = k as well as thus it is obtained:
A"(2h - x, 2k - y)

Similarly this article.
Sorry if at that spot is a incorrect word.
The goal of discussion wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting as well as sales

Rotation Of Two-Dimensional Transformation

Rotation on a airplane is determined by:

• Rotation midpoint point
• Large angle of rotation
• Direction of rotation angle

The administration of rotation is said to live on positive if it is anticlockwise as well as the administration of rotation is negative if it is handled alongside the hands of the clock.

1. Rotation alongside Center O (0, 0)

Rotation formula alongside the midpoint O(0, 0)

x' = 10 cos θ - y sin θy' = 10 sin θ + y cos θ

2. Rotation alongside midpoint P (a, b)

Rotational formula alongside midpoint P (a, b)

x' - a = (x - a) cos θ - (y - b) sin θy' - b = (x - a) sin θ + (y - b) cos θ

Example:
Please cause upwards one's hear the shadow from the holler for A(2, 3) when rotated past times the 90° corner counterclockwise alongside the midpoint P (1, -6)!

Answer:
Rotation 90° counterclockwise agency θ = 90°
x' - a = (x - a) cos θ - (y - b) sin θ
x' - 1 = (2 - 1) cos 90°- (-3 - (-6)) sin 90°
x' - 1 = cos 90° - iii sin 90°
x' - 1 = 0 - 3
x' - 1 + 1 = -3 + 1
x' = -2

y' - b = (x - a) sin θ + (y - b) cos θ
y' - (-6) = (2 - 1) sin 90° + (-3 - (-6)) cos 90°
y' + half dozen = sin 90° + iii cos 90°
y' + half dozen = 1 + 0
y' + half dozen - half dozen = 1 - 6
y' = -5

So the shadow coordinates are A'(- 2, -5).

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The destination of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's mass math grouping accounting as well as sales

Translation Of Two-Dimensional Transformation

Influenza A virus subtype H5N1 translation or shift is a transformation that moves each indicate on a plane amongst a for sure distance together with direction.

Formula of Translation

Information:
T (^a _b) = Number of translations
P(x, y) = Point to live on translated
P'(x', y') = Point of translation result

Example Question of Translation

Please decide the translational upshot from indicate A(-1, 4), if translated past times T = (³ _-2)!

Answer:

So the translation of indicate A(-1, 4) translated by T = (³ _-2) is A'(2, 2).

Similarly this article.
Sorry if at that topographic point is a incorrect word.
The terminate of give-and-take wassalamualaikum wr. wb

Referensi :

• To'Ali's majority math grouping accounting together with sales