Area Volume in Geometry Cheat Sheet, Cheat Sheet of Geometry

Formulas to calculate area in various surfaces and shapes

Typology: Cheat Sheet

2020/2021

Uploaded on 04/23/2021

anuprabha
anuprabha 🇺🇸

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Rectangle
Area =
Perimeter = 2 + 2
lw lw
w
l
Parallelogram
Area =
bh
b
h
Triangle
h
b
Area =
bh
Circle
r
Area =
Circumference = 2
rr
2
Geometry
Reference Sheet
Pythagorean Theorem
abc
222
+=
b
a
c
Trapezoid
Area = ( + )
1
2
hb b
12
b
1
b
2
h
Cube
s
Volume =
Surface Area =6
ss
2
3
Cylinder
h
rr
Volume =
Surface Area = 2 + 2
Lateral Area = 2
rh rrh
rh
2
2
DISTANCE BETWEEN
TWO POINTS:
SUM OF INTERIOR ANGLES
OF AN -SIDED POLYGON:n
d=(–)+ (–)xx yy
21
2
21
2
180 ( 2)n–
MID-POINT BETWEEN
TWO POINTS: ( )
xx
12
+
2
yy
12
+
2
,
Sphere
Volume = 4
3
r
3
Surface Area =4
r
2
rr
h
Right Prism
Volume = base area ×
h
Surface Area = base areas + face areas
Rectangular Solid
l
w
h
Volume =
Surface Area =2 + 2 + 2
wh whwh
lll
Lateral Area = 2( + )
lwh
Lateral Area = sum of face areas
Lateral Area =
rs
Right Pyramid
Volume = × base area ×
1
3
h
Surface Area = base area + face areas
h
Volume =
1
3
rh
2
Surface Area =
rrs
2+
Cone
s
h
r
Sector of Circle
Arc Length = circumference × central angle
360º
Sector Area = total area × central angle
360º
r
central
angle
Trigonometry Formulas
Area = sin
1
2
ab C
Law of cosines: = + 2 (cos )
ba c ac B
222
Law of sines: = =
a
sin
Ab
sin
Bc
sin
C
A
B
C
a
b
ch

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Rectangle

Area =Perimeter = 2 + 2

lw

l^

w

w

l

Parallelogram

Area =

bh

b

h

Triangle

h

b

Area =

bh

Circle

r^

Area =Circumference = 2

r

r

2

Geometry

Reference Sheet

Pythagorean Theorem

a

b

c

2

2

2

b

a c

Trapezoid

Area = –

(^

12

h b

b

1

2

b

1 b

2

h

Cube

s

Volume =Surface Area = 6

s

s

(^2)

3

Cylinder

h

rr

Volume =Surface Area = 2

Lateral Area = 2

r h

r^

rh

rh

2

2

DISTANCE BETWEENTWO POINTS:SUM OF INTERIOR ANGLESOF AN

-SIDED POLYGON: n

d=

(^

x

x

y

y

2

1

2

2

1

2

n –

MID-POINT BETWEENTWO POINTS:

x

x

1

2 +^2

y

y 1

2 +^2

Sphere

Volume =

r^

3

Surface Area = 4

r^

2

rr

Right Prism h

Volume = base area ×

h

Surface Area = base areas + face areas

Rectangular Solid

l

w

h

Volume =Surface Area = 2

wh

w

h

wh

l^

l^

l

Lateral Area = 2( +

l^

w h

Lateral Area = sum of face areas

Lateral Area =

rs

Right Pyramid

Volume = – × base area ×

13

h

Surface Area = base area + face areas

h

Volume = –

13

r h 2

Surface Area =

r^

rs

2

Cone

s

h

r

Sector of Circle

Arc Length =

circumference × central angle

Sector Area =

total area × central angle

r

central

angle

Trigonometry Formulas Area =

sin

12

ab

C

Law of cosines:

(cos

b

a

c

ac

B

2

2

2

Law of sines:

a sin

A

b sin

B

c sin

C

A

B

C

a

b

c

h