Geometry

Area and perimeters

Circumference of a circle

<math>C = 2 \pi r</math>

Area of a circle

<math>A = \pi r^2</math>

Perimeter of a triangle

<math>P = a + b + c</math>

Area of a triangle

<math>A = \frac{1}{2} bh</math>

• The area of an equilateral triangle is

<math>A = \frac{1}{4}s^2\sqrt{3}</math>

Volume and surface area

Volume of a cube

<math>v(x) = x^3</math>

Surface area of a sphere

<math>A(r) = 4\pi r^2</math>

Volume of a sphere

<math>v(r) = \frac{4}{3}\pi r^3</math>

where r is the radius of a sphere

Volume of a cone

<math>v(r) = \frac{1}{3}\pi r^2 h</math>

where r is the radius of the base, and h is the height of a cone

Volume of a cylinder

This only applies to a right cylinder.

<math>v(r) = {\pi}r^2h</math>

where r is the radius of the base, and h is the height of a cylinder