Question

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

Answer 1

Answer:

25 π /12  radians

Step-by-step 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