Degrees, Radians, and Coterminal Angles

Front

What is a degree?

Back

A degree is a unit of measurement for angles, where a full circle is divided into 360 equal parts.

Front

What is a radian?

Back

A radian is a unit of angular measure where the angle subtended at the center of a circle by an arc equal in length to the radius of the circle is one radian.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, multiply the radian measure by 180/π.

Front

What are coterminal angles?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position, differing by full rotations (360 degrees or 2π radians).

Front

How do you find a negative coterminal angle?

Back

To find a negative coterminal angle, subtract 360 degrees (or 2π radians) from the given angle.

Front

What is the negative coterminal angle of 165 degrees?

Back

-195 degrees.

Front

Convert π radians to degrees.

Back

180 degrees.

Front

Convert 150 degrees to radians.

Back

5π/6 radians.

Front

What is 4π/3 radians in degrees?

Back

240 degrees.