Angles & Radian Measures

Front

What is the conversion formula from radians to degrees?

Back

Degrees = Radians × (180/π)

Front

What is 1 radian in degrees?

Back

1 radian = 180/π degrees (approximately 57.3°)

Front

What is the value of π in degrees?

Back

π radians = 180°

Front

What is the value of 2π in degrees?

Back

2π radians = 360°

Front

What is a coterminal angle?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360° (or 2π radians).

Front

How do you find a positive coterminal angle for a given angle?

Back

To find a positive coterminal angle, add 360° (or 2π radians) to the given angle until the result is positive.

Front

How do you find a negative coterminal angle for a given angle?

Back

To find a negative coterminal angle, subtract 360° (or 2π radians) from the given angle until the result is negative.

Front

Convert 4π/3 radians to degrees.

Back

4π/3 radians = 240°.

Front

What is the degree measure of -3π/4 radians?

Back

-3π/4 radians = -135°.

Front

Find a coterminal angle to 45°.

Back

405° is a coterminal angle to 45°.