Geometric Formulas - Green River College



Geometric Formulas

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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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