Question

Convert the following angle from degrees to radians. Express your answer in simplest

form.
375°

Answer 1

25 π /12 radians

Explanation:

To convert degrees to radians, multiply by π /180 , since a full circle is

360 or 2 π radians.

Cancel the common factor of 15

Factor 15 out of 375

15 (25). π/ 180 radians

Factor

15 out of 180

15. 25 ⋅ π/ 15 ⋅ 12 radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12 radians

Rewrite the expression.

25 ⋅ π/ 12 radians

Combine

25 and π /12

25 π /12 radians