Find the radian measure of an angle of 80°.(1 point) show steps

Answer 1

To convert degrees to radians, you can use the formula:

Radians = Degrees x (π/180)

Given that the angle is 80°, you can plug that into the formula:

Radians = 80 x (π/180)

Radians = (80π)/180

Simplify the fraction by dividing both the numerator and denominator by 10:

Radians = (8π)/18

Further simplify by dividing both the numerator and denominator by 2:

Radians = (4π)/9

Therefore, the radian measure of an angle of 80° is (4π)/9 radians.