Geometric Formulas - Green River College
Geometric Formulas
-----------------------
Perimeter: P = 2l + 2w
Area: A = lw
l
Rectangle
w
Square
Perimeter: P = 4s
Area: A = s2
Triangle
Sum of Angles
Of Triangle
s
Perimeter: P = a + b + c
Area: A = [pic] b h
b
h
a
c
A
B
C
A + B + C = [pic]
The sum of the measures of the three angles is [pic].
Right Triangle
a
b
c
Pythagorean Theorem
(for right triangles)
Isosceles Triangle
Equilateral
Triangle
a
b
c
a
a
Perimeter: P = a + b + c
Area: A = [pic]ab
One [pic] (right) angle
[pic]
Triangle has two equal sides and two equal angles.
Triangle has three equal sides and three equal angles.
Trapezoid
Parallelogram
Circle
Rectangular Solid
Perimeter: P = a + b + c + B
Area: A = [pic]h ( B + b )
Perimeter: P = 2a + 2b
Area: A = bh
Circumference: C = [pic]d
C = 2[pic]r
Area: A = [pic]r2
Volume: V = LWH
Surface Area: S = 2LH + 2LW + 2WH
Cube
Cone
Right Circular Cylinder
Sphere
Volume: V = s3
Volume: V = [pic][pic]
Volume: V = [pic]
Surface Area: SA = 2[pic]r2 + 2[pic]r h
Volume: V = [pic]
Other Formulas: Temperature: F = [pic]C + 32 C = [pic](F – 32)
Distance: d = rt (r = rate, t = time) Simple Interest: I = Prt
Percent: p = br (p = percentage, b = base, r = rate) (P = principal, r = rate, t = time in years)
a
b
c
h
B
b
h
a
r
d
L
W
H
s
r
h
h
r
r
a
a
a
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