Angles in Radians

Front

What is the definition of a radian?

Back

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

Front

How many radians are in a full circle?

Back

There are 2π radians in a full circle.

Front

Convert 180 degrees to radians.

Back

180 degrees is equal to π radians.

Front

Convert 90 degrees to radians.

Back

90 degrees is equal to π/2 radians.

Front

What is the relationship between degrees and radians?

Back

Degrees can be converted to radians by multiplying by π/180.

Front

What is the measure of the angle 7π/6 in degrees?

Back

7π/6 radians is equal to 210 degrees.

Front

What is the measure of the angle 5π/6 in degrees?

Back

5π/6 radians is equal to 150 degrees.

Front

What is the measure of the angle 7π/3 in degrees?

Back

7π/3 radians is equal to 420 degrees.

Front

What is the measure of the angle -17π/12 in degrees?

Back

-17π/12 radians is equal to -255 degrees.

Front

What is the measure of the angle 5π/4 in degrees?

Back

5π/4 radians is equal to 225 degrees.