Math Figures

A collection of mathematical figures. A figure is an illustration, graphic or image that represents a math concept. Each figure is linked to relevant pages and contains an explanation of how to construct the figure.

1 over 4 Rotation Radians
1 over 4 Rotation Radians
1 over 6 Rotation Radians
1 over 6 Rotation Radians
An angle measured as 1 radians.
1 Radian
This figure illustrates the measured angle of 135 degrees.
135 Degrees
An angle measured as 2 radians.
2 Radians
An angle measured as 3 radians.
3 Radians
The 45 45 90 special right triangle.
30 60 90 Triangle
This figure illustrates the measured angle of 30 degrees.
30 Degrees
An angle measured as 4 radians.
4 Radians
This figure illustrates the 45 45 90 special right triangle.
45 45 90 Triangle
This figure illustrates the measured angle of 45 degrees.
45 Degrees
An angle measured as 5 radians.
5 Radians
An angle measured as 6 radians.
6 Radians
This figure illustrates the measured angle of 60 degrees.
60 Degrees
This figure illustrates the measured angle of 90 degrees.
90 Degrees
An angle is defined as the amount of rotation between two rays.
Angle
This figure illustration that an angle by itself is measured from the positive rightwards direction on the circle with the positive in the counter-clockwise direction.
Angle Convention
This figure illustrates the percentage area under the normal distribution (σ = 1).
Area Under Normal Distribution
This figure illustrates the percentage area under the normal distribution associated with the standarad deviation of the distribution.
Area Under Normal Distribution
This figure illustrates the circle as a center point and a radius.
Circle
Color intensity shown as a gradient from black to white.
Color Intensity
Placing a neutral color in different environments changes its appearance.
Color Intensity Optical Illusion
The spectrum of possible hues of color.
Color Spectrum
This figure illustrates the additive color model as a color spectrum circle.
Color Spectrum Circle
The color wheel visualizes the circular nature of the possible hues of color.
Color Wheel
This figure illustrates the complex plane. The horizontal axis represents the real part of a complex number and the vertical axis represents the complex part of a complex number.
Complex Plane
This figure illustrates the relationship between compound interest and exponential growth.
Compound Interest and Exponential Growth
This figure depicts the graph of the compound interest formula given some example values.
Compound Interest Formula
This figure is a graph of a quarterly compound interest example.
Compound Interest Quarterly Example
Yearly Compound Interest Example
Compound Interest Yearly Example
This figure depicts how the degrees system measures angles where one full roation is 360 degrees.
Degree Angle System
Special angles measured using Degrees
Degrees Fractions
Euler's Formula in the Complex Plane
Euler's Formula
This figure shows the graph of the exponential function on the domain [0,1].
Exponential Function Graph
Graph of Cosine from 0 to Tau
Graph of Cosine
Graph of Sine from 0 to τ (tau)
Graph of Sine
Population Growth Formula Example
Growth Constant Example
This figure illustrates the area under the curve represented by the integral between two points.
Integral Definition
This figure illustrates the intermediate value theorem.
Intermediate Value Theorem
This figure illustrates the intermediate value theorem.
Mean Value Theorem
The polar coordinate system describes points in space relative to the origin using a combination of radius and angle.
Polar Coordinate System
This figure illustrates the polar coordinates point (3, 0.2 τ)
Polar Coordinates Point
This figure shows how growth rate influences the population using the formula for population growth.
Population Growth Rate Coeffecient Values
Radian Angle System
Radian Angle System
This figures illustrates the radian angle system.
Radian Angle System
Radius Invariance Property
Radians (Radius Invariance Property)
The geometric Definition of Radian System.
Radians Definition
Radians Unit System Fractions τ (tau)
Radians Special Angles
This figure illustrates the right triangle.
Right Triangle
Trigonometry is about circles
Trigonometry
A circle of radius one placed at the origin of the coordinate system.
Unit Circle
Unit Circle in Cartesian Coordinates
Unit Circle Cartesian Coordinate System
The unit circle chart
Unit Circle Chart π (pi)
The Unit Circle Divided by 8 measured using the circle constant.
Unit Circle Eights τ (tau)
Variables associated with the Unit Circle
Unit Circle Notation
Unit Circle Polar Coordinate System
Unit Circle Polar Coordinate System
The unit circle demonstrates the output of the trigonometric functions sine, cosine and tangent through the shared geometry of the right-triangle defined by a point on the perimeter of the circle.
Unit Circle Trigonometry
Inverse Property of Exponential Function
Verify Inverse Property of Exponential Function
A half-rotation is π (pi) radians.
π (pi) Radians
Definition of the circle constant τ (tau)
τ (tau) Definition
An angle measured as τ (tau) radians.
τ (tau) Radians