Georgia
rgia
Geometry
Formula Sheet
Milest
stones
nes
A ssessment System
Below are the formulas you may find useful as you take the test. However, you may find that you do not
need to use all of the formulas. You may refer to this formula sheet as often as needed.
Geometry Formulas
Pythagorean Theorem
Perimeter
a2 + b2 = c2
The perimeter of a polygon is equal to the sum
of the length of its sides.
Trigonometric Relationships
adj
opp
opp
sin = } ; cos = } ; tan = }
hyp
hyp
adj
Distance
Formula
_________________
d = √(x2 – x1)2 + (y2 – y1)2
Equation of a Circle
(x – h)2 + (y – k)2 = r 2
Coordinates of point which partitions a
directed line segment AB at the ratio of a: b
from A(x1, y1) to B(x2, y2)
(
Volume
)
bx1 + ax2 by1 + ay2
,}
(x, y) = }
b+a
b+a
OR
a (x – x ), y + }
a (y – y )
(x, y) = x1 + }
a+b 2 1 1 a+b 2 1
(
Circumference of a Circle
C = πd or C = 2πr
π ≈ 3.14
Arc Length of a Circle
2πr
Arc Length = }
360
Area
Rectangle
1 bh
A=}
2
A = bh
Circle
A = πr 2
Triangle
)
Cylinder
V = πr 2h
Pyramid
1 Bh
V=}
3
1 πr 2h
V=}
3
4 πr 3
V=}
3
Cone
Sphere
Statistics Formulas
Conditional Probability
P(A and B)
P(A|B) = }
P(B)
Multiplication Rule for Independent Events
P(A and B) = P(A) • P(B)
Addition Rule
P(A or B) = P(A) + P(B) – P(A and B)
Area of a Sector of a Circle
2
πr
Area of Sector = }
360
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