Pythagorean Theorem

a^2 + b^2 = c^2

Area of a Circle

A = \pi r^2

Circumference of a Circle

C = 2\pi r

Area of a Triangle

A = \frac{1}{2}bh

Volume of a Sphere

V = \frac{4}{3}\pi r^3

Area of a Trapezoid

A = \frac{a+b}{2}h

Distance Between Two Points

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Midpoint Formula

M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

Slope-Intercept Form

y = mx + b

General Form of Line

Ax + By + C = 0

Volume of a Cylinder

V = \pi r^2 h

Surface Area of a Cylinder

A = 2\pi r(r + h)

Volume of a Cone

V = \frac{1}{3}\pi r^2 h

Surface Area of a Cone

A = \pi r(r + l)

Volume of a Rectangular Prism (Cuboid)

V = abc

Surface Area of a Rectangular Prism

A = 2(ab + bc + ac)

Volume of a Cube

V = a^3

Surface Area of a Cube

A = 6a^2

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Geometry