Question

Find angle 75 degrees in radian measures as a multiple of π:

a) 4π/3
b)√2/π
c)12π
d) 5π/12
e)π√2/2

Answer 1

d) 5π/12.

Explanation:

Angle in radians = angle in degrees * π / 180.

So for 75 degrees:

radians = 75 * π / 180

= 5π/12.

Answer 2

The answer to your question is: letter d

Explanation:

Convert 75° to radians

360° ----------------- 2π rad Rule of three

75° ----------------- x

x = (75 x 2π rad ) / 360

x = 150π rad / 360

x = 15π rad / 36 Simplify

x = 5 π rad / 12