Geometry and Trigonometry Reference Formulas

A collection of vocabulary flashcards covering two-dimensional and three-dimensional geometric measurement formulas and basic trigonometric ratios.

Pythagorean Theorem / Distance Formula

The geometric relation represented by $x^2 + y^2 = s^2$ ($a^2 + b^2 = c^2$).

Circle Area

The measure of space inside a circle, calculated using the formula $A = r^2\times\pi$.

Circle Circumference

The distance around a circle, given by the formula $C = 2r\pi$.

Rectangle Area

The measure of the two-dimensional space of a rectangle, given by the formula $A = l \cdot w$.

Rectangle Perimeter

The total distance around the exterior of a rectangle, given by $P = 2l + 2w$.

Rectangular Prism Volume

The measure of space inside a rectangular prism, calculated as $V = l \cdot w \cdot h$ ($V = B \cdot h$).

Rectangular Prism Surface Area

The total area of all outer surfaces of a rectangular prism, given by $SA = 2B + ph$.

Cone Volume

The capacity of a cone, expressed by the formula $V = \frac{1}{3}r^2\pi h$.

Cone Surface Area

The total outer surface area of a cone, given by the formula $S.A. = r^2\pi + r\pi l$.

Sphere Volume

The three-dimensional capacity of a sphere, calculated using $V = \frac{4}{3}r^3\pi$.

Sphere Surface Area

The total area enclosing a sphere, given by the formula $S.A. = 4r^2\pi$.

Cube Volume

The space occupied by a cube with side length $s$, given by $V = s^3$.