Degrees (Angles) - Math Is Fun

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Math is Fun Degrees (Angles) images/angles.js

We can measure angles in degrees

There are 360 degrees in one full rotation (one complete circle around).

Angles can also be measured in Radians.

(Note: "Degree" is also used for Temperature, but here we talk about Angles)

The Degree Symbol °

We use a little circle ° following the number to mean degrees.

For example 90° means 90 degrees

One Degree

1 Degree This is how large 1 Degree is

Full Circle Degrees

The Full Circle

A Full Circle is 360°

Half a circle is 180° (called a Straight Angle)

Quarter of a circle is 90° (called a Right Angle)

question

Why 360 degrees? Maybe because old calendars (such as the Persian Calendar) incorrectly used 360 days for a year - when they watched the stars they saw them revolve around the North Star one degree per day.

Also 360 can be divided exactly by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180, which makes a lot of basic geometry easier.

Measuring Degrees

We often measure degrees using a protractor:

Protractor The normal protractor measures 0° to 180°

Full Circle Protractor There are also full-circle protractors. They are not commonly used because they are a bit big and don't do anything special. 1771, 1772, 1773, 1774, 1775, 3280, 3281, 3282, 3283, 8990 Types of Angles Radians Plane Symbols in Geometry Geometry Index Copyright © 2025 Rod Pierce

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