Download Formulas for Geometry - El Paso Community College

Formulas for Geometry
Square:
Rectangle:
Area = S2
Perimeter = 4⋅S
W
Area = L⋅W
Perimeter = 2⋅L + 2⋅W
S
L
S
Triangle:
Right Triangle:
Area = ½⋅B⋅H
Pythagorean Theorem:
H
c
a
c2 = a2 + b2
b
B
Circle:
Sphere:
2
Area = π⋅R
Circumference = 2⋅π⋅R
Diameter = 2⋅R
R
2
R
Surface Area = 4⋅π⋅R
4
Volume = ⋅π⋅R3
3
R
Right Cylinder:
Cube:
Volume = S3
Surface Area = 6⋅S2
Volume = π⋅R2⋅H
Surface Area = 2⋅π⋅R⋅H + 2⋅π⋅R2
S
H
S
S
Rectangular Solid:
Parallelogram:
Volume = L⋅W⋅H
Surface Area = 2⋅L⋅W + 2⋅L⋅H + 2⋅W⋅H
Area = b⋅h
H
W
L
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Trapezoid:
Frustum of Circular Cone:
h
Area= (b1 + b2 )
2
Volume =
π (r 2 + rR + R 2 )h
3
Lateral Surface Area = π⋅s⋅(R + r)
Cone:
Right Circular Cone:
πr 2 h
Volume =
3
For any cone:
Ah
Volume =
3
(A = area of base)
Lateral Surface Area = πr r 2 + h 2
Angles:
Complementary Angles: Two angles whose degree
measures have a sum of 90.
Supplementary Angles: Two angles whose degree
measures have a sum of 180.
1 2
3 4
5 6
7 8
Congruent Angles: Angles that have the same
measure. (Vertical angles are congruent.)
M
N
If lines M and N are parallel (M N), and they are
both intersected by another line O, not being
perpendicular, then:
Congruent Angles:
∠ 1 and ∠ 4
∠ 2 and ∠ 3
∠ 5 and ∠ 8
∠ 6 and ∠ 7
∠ 1 and ∠ 8
∠ 2 and ∠ 7
∠ 1 and ∠ 5
Supplementary Angles:
∠ 1 and ∠ 2 ∠ 6 and ∠ 8
∠ 3 and ∠ 4 ∠ 3 and ∠ 5
∠ 5 and ∠ 6 ∠ 4 and ∠ 6
∠ 7 and ∠ 8
∠ 1 and ∠ 3
∠ 2 and ∠ 4
∠ 5 and ∠ 7
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∠ 3 and ∠ 7
∠ 2 and ∠ 6
∠ 4 and ∠ 8
∠ 3 and ∠ 6
∠ 4 and ∠ 5
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