# Examples

A collection of useful Math examples for solving problems, calculating results, drawing shapes, and more!

## Algebra

A Plus B Squared

Absolute Value of Number

Approximate Square Root of Two with Recursive Formula

Derive Distance Between Two Points Formula

Derive Law of Sines

Derive Quadratic Formula

Distance Between Two Points 2D

Factorial of Number

Line Through Two Points

Midpoint of Line

Point Where Two Lines Intersect

Quadratic Formula

Slope of Line

Sum of Counting Numbers

Sum of Square Numbers

Summation

## Arithmetic

Addition

Division

Factors of a Number

Multiplication

## Calculus

Line Tangent to Point

Riemann Sum of Function Left Approximation

## Geometry

Bisect Line with Compass and Straight Edge

A Plus B Squared

Approximate PI Geometrically

Area of Circle given Radius

Area of Rectangle

Bisect Angle with Compass and Straight Edge

Circumference of Circle given Radius

Construct Bezier Curve with Ruler

Construct Ellipse with two Tacks, String, and Pencil

Construct Equilateral Triangle

Construct Golden Rectangle

Cross Product

Derive Law of Sines

Distance Between Two Points

Distance Between Two Points 2D

Line Through Two Points

Midpoint of Line

Perimeter of Two to the n Sided Polygon

Point Where Two Lines Intersect

## Linear-Algebra

2D Rotation Matrix

2D Scalar Matrix

Cross Product

Determinant of Three by Three Matrix

Determinant of Two by Two Matrix

## Probability

N Choose R Order Does Not Matter

N Choose R Order Matters

Number of Permutations for N Distinct Items

Population Mean of Continuous Distribution

Population Mean of Discrete Distribution

Variance of Discrete Distribution

## Set-Theory

Union of {1, 2, 3} and {2, 3, 4}

## Trigonometry

Angle of Right Triangle Given Two Sides

Convert Angle from Degrees to Radians

Convert Angle from Radians to Degrees

Convert Point From Polar Coordinates to Cartesian Coordinates

Derive Law of Sines