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What Are Degrees? (Mathematics Lesson)

What Are Degrees?

Degrees are a unit of measurement of an angle.

There are 360 degrees in a full rotation.

Degrees are denoted by the symbol °.

360 Degrees in a Circle

There are 360 degrees in a full rotation (a circle).

One degree is 1360th of a circle.



Important Angles in Degrees

  • 90° is a right angle, a quarter of a rotation.


  • 180° is a straight angle, a half of a rotation.


  • 270° is three quarters of a rotation.


  • 360° is a full angle, a whole rotation.

How to Measure an Angle in Degrees

The number of degrees in an angle can be measured directly using a protractor:



Alternatively, geometry and trigonometry can be used to find angles.

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Note
WHAT IS AN ANGLE?

An angle is a measure of the rotation between two straight lines that share a common endpoint.

OTHER MEASURES OF ANGLES

The radians is another measure of angles.

1 radian is the angle found when the radius is wrapped around the circle.



There are 2π radians in one rotation.

Read more about radians