Question

Find the radian measure of 72° 30'.
1. 35π/36
2. 25π/36
3. 29π/72
4. 30π/72

Answer 1

Correct Answer - Option 3 : 29π/72

Given:

degree = 72° 30'

Concept Used:

Radian measure = (π/180) × degree measure

1 degree = 60 minutes

Calculation:

Value of 72° 30' = (72 + 30/60)  

Value = (72 + 1/2) = (145/2)° 

Substituting the values in the formula 

Radian measure of 72° 30' = (145/2) × (π/180)

Radian measure of 72° 30' =  29π/72

∴ The radian measure of 72° 30' is 29π/72.