Convert the following degree measure to radian measure. Show your work.

Question

315°

Answer 1

To convert from degrees to radians, we use the conversion factor: 1 radian = 180/π degrees.

First, we'll find the value of 1 radian in degrees:
1 radian = 180/π degrees ≈ 57.296°

To convert 315° to radians, we'll multiply it by the conversion factor:
315° * (π/180) ≈ 5.4978 radians

Therefore, 315° is approximately equal to 5.4978 radians.