Geometry Formula Sheet
SQUARE
PARALLELOGRAM
RECTANGLE
h
h
s
b
P = 2b + 2h
A = bh
P = 4s
A = s2
TRIANGLE
b
A = bh
REGULAR POLYGON
TRAPEZOID
b1
h
h
A=
a
b
1
s
b2
2
bh
A=
1
2
h(b1 + b2)
P = ns
1
A = aP
2
TRIANGLE ANGLE SUM
B
RHOMBUS
RIGHT TRIANGLE
B
c
a
d1
d2
b
C
A=
1
2
A
(d1d2)
45° - 45° - 90° TRIANGLE
m∠A + m∠B + m∠C = 180°
a + b2 = c2
1
AREA = ab
2
C
30° - 60° - 90° TRIANGLE
B
TRIG RATIOS
45°
x 2
x
c
a
30°
2x
x 3
b
C
x
45°
Ratio of Sides = 1:1: 2
A
2
x
60°
Ratio of Sides = 1:2: 3
sin ∠A =
a
c
A
cos ∠A =
tan ∠A =
a
b
b
c
Geometry Formula Sheet
SECTOR OF A CIRCLE
ARC
CIRCLE
A
A
diameter
radius
6
2
length AB =
8
EQUATION OF A CIRCLE
(x, y)
4
4
5
10
2
2
r = (x - h) + (y - k)
–2
–4
–6
M=
(
x1 + x2 y1 + y2
,
2
2
)
–2
SLOPE INTERCEPT FORM
rise
(x2, y2)
m=
5
rise
run
=
y2 - y1 10
x2 - x1
RIGHT CYLINDER
d
RIGHT PRISM
6
run
2
10
–4
8
(x1, y1)
(x2 - x1)2 + (y2 - y1)2
d=
4
h
h
2
Base
5
10
–4
P
Base
LA = Ph
SA = LA + 2B
V = Bh
–2
b is the y-intercept
–6
RIGHT CYLINDER
l
h
LA =
1
Pl
2
SA = LA + B
V=
1
3
Bh
Base
SPHERE
l
h
P
Base
r
LA = 2πrh or LA = πdh
SA = LA + 2B
V = Bh or V = πr2h
y = mx + b
RIGHT PYRAMID
xπr2
4
M
5
(x1, y1)
360
SLOPE
8
6
(x2, y2)
5
2
–2
360
mAB
Area of Sector AOB =
x2πr
DISTANCE AND MIDPOINT
2
(h, k)
mAB
6
r
2
B
O
mAB = m∠AOB
C = πd or C = 2πr
A = πr
B
O
r
r
LA = πrl
SA = LA + B
1
1
V = Bh or V = πr2h
3
3
SA = 4πr2
4
V = πr3
3