11.2 Converting Radians and Degrees

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. 1 radian is equal to approximately 57.3 degrees. To convert degrees to radians, use the formula: radians = degrees × (π/180).

Front

How do you calculate the length of an arc in a circle?

Back

The length of an arc (L) can be calculated using the formula: L = rθ, where r is the radius and θ is the angle in radians.

Front

What is the formula to convert radians to degrees?

Back

To convert radians to degrees, use the formula: degrees = radians × (180/π).

Front

What is the value of π in degrees?

Back

π radians is equal to 180 degrees.

Front

Convert 90° to radians.

Back

Front

Convert 180° to radians.

Back

Front

Convert 360° to radians.

Back

Front

What is the length of the intercepted arc for a circle with radius 1 unit and angle 1 radian?

Back

The length of the intercepted arc is 1 unit.

Front

Convert 285° to radians.

Back

Front

Convert -520° to radians.

Back