Geometric Figures Formulas Sheet for Grade 9, Study notes of Trigonometry

Formulas for calculating the perimeter and area of various geometric figures including triangles, trapezoids, parallelograms, circles, rectangles, and more. It also includes formulas for the volume and surface area of cylinders, spheres, cones, and other shapes.

Typology: Study notes

2021/2022

Uploaded on 07/05/2022

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Formula Sheet
Grade 9 Academic
Triangle
Trapezoid
Parallelogram
Circle
Rectangle
Geometric FigurePerimeter Area
w
lP = l + l + w + w
or
P = 2(l + w)
A = lw
P = b + b + c + c
or
P = 2(b + c)
P = a + b + c
P = a + b + c + d
C = πd
or
C = 2πr
A = bh
A = πr2
or
or
h
b
c
a
A =
2
bh
A = bh
2
1
A = (a + b)h
2
1
d
r
h
b
c
b
cd
a
h
2
(a + b)h
A =
Ffla2_9e_0115
pf2

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Formula Sheet

Grade 9 Academic

Triangle

Trapezoid

Parallelogram

Circle

Rectangle

Geometric Figure Perimeter Area

w

l

P = l + l + w + w

or

P = 2 (l + w)

A = lw

P = b + b + c + c

or

P = 2 (b + c)

P = a + b + c

P = a + b + c + d

C = π d

or

C = 2π r

A = bh

A = π r

2

or

h or

b

a c

A =

bh

A = bh 2

A = ( a + b ) h 2

d

r

h

b

c

b

c d

a

h

( a + b ) h A =

Ffla2_9e_

A (^) = 4πr

2

Abase = πr

2

Atotal = Alateral surface + Abase

Atotal = πrs + πr

2

Abase = b

2

Atotal = 4Atriangle + Abase

Atotal = 2bs + b

2

A (^) = 2(wh + lw + lh)

Arectangles = ah + bh + ch

Atotal = ah + bh + ch + bl

or

V = πr

2 h

V = (Abase )(height)

V = (Abase )(height)

V = (Abase )(height)

V = lwh

Abase = bl

V =

(Abase )(height)

or

Geometric Figure Surface Area Volume

Alateral surface = 2 πrh

Atotal = 2 Abase + Alateral surface

Abase = πr

2

Alateral surface = πrs

= 2 πr

2

  • 2 πrh

Atriangle = bs 2

Atotal = Arectangles + 2 Abase

V = πr

3

3

V =

4 πr

3

V = πr

2 h 3

V =

πr

2 h

V = b^ or

2 h 3

V = blh 2

V =

b

2 h

or V = 2

blh

Cylinder

Sphere

Cone

Rectangular prism

Square-

based

pyramid

Triangular prism

r

r

h

l

h

w

b

l

h

s

s

b

b

h

h

r

c a

V =

(Abase )(height)

Ffla2_9e_