Radians and Degrees Conversions

Front

Convert 720° to radians.

Back

4π

Front

What is 225° in radians?

Back

\frac{5\pi}{4}

Front

What is 270° in radians?

Back

\frac{3\pi}{2}

Front

Convert 150° to radians.

Back

\frac{5\pi}{6}

Front

What degree measure is equivalent to \frac{8\pi}{3}?

Back

480°

Front

Define radians.

Back

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

Front

Define degrees.

Back

Degrees are a measurement of angles, where a full circle is divided into 360 equal parts.

Front

How to convert degrees to radians?

Back

Multiply the degree measure by \frac{\pi}{180}.

Front

How to convert radians to degrees?

Back

Multiply the radian measure by \frac{180}{\pi}.

Front

What is the radian measure of 90°?

Back

\frac{\pi}{2}