# Math Formulas

A collection of math formulas for lookup and reference. Each formula contains an explanation of how the formula is used, what different variables represent within the formula and examples of the formula in action.

Calculate the midpoint of a line defined by two points.

Solve for the x-intercepts of a quadratic equation.

Calculate the slope of a line using two points on the line.

Calculate the area of a circle given the radius.

Calculate the area of a circle given the radius.

Calculate the area of a parallelogram given the base and height.

Calculate the area of a rectangle given the width and height.

Calculate the area of a trapezoid given the bottom, top and height.

Calculate the area of a triangle given the width and height.

Calculate the circumference of a circle given the radius.

Calculate the circumference of a circle given the radius.

Calculate the distance between two points in one dimension.

Calculate the distance between two points in two dimensions.

Calculate the midpoint of a line defined by two points.

Calculate the slope of a line using two points on the line.

Calculate the volume of a cone given the radius and height.

Calculate the volume of a cube given the width.

Calculate the volume of a cylinder given the radius and height.

Calculate the volume of a rectangular prism given the width, height and length.

Calculate the volume of a sphere given the radius.

Calculate the angle between two vectors.

Calculate the magnitude of the cross product of two vectors.

Convert a point from the polar coordinate system to the cartesian coordinate system.

Calculate a point on the complex unit circle given an angle.

Calculate the population after time has elapsed.

Calculate the angle between two vectors.

Calculate the angle between two vectors.

Calculate the area between two vectors.

Calculate the cross product of two vectors using the formal determinant.

Calculate the determinant of a 2 by 2 matrix.

The formula for the determinant of a three by three matrix.

Calculate the dot product of two vectors.

Calculate the dot product of two vectors.

Calculate the magnitude of the cross product of two vectors.

Calculate the magnitude (length) of a vector.

Calculate the possible combinations of a subset of a collection.

Calculate the value of principle with compounding interest over time.

Calculate the probability of an event, given that another event has already occurred.

Calculate the expected value of a continuous distribution.

Calculate the expected value of a discrete distribution.

Calculate the number of possible permutations of a subset of a collection.

Calculate the possible permutations of a set.

Calculate the sample mean of data.

Calculate the standard deviation of a distribution from sample data.

Calculate the standard deviation of a distribution from population data.