Question

The radian measure of 37°30′ is:

Options

• `(5pi)/24`

• `(3pi)/24`

• `(7pi)/24`

• `(9pi)/24`

Answer 1

`(5pi)/24`

Explanation:

37°30′ = `37^circ + (30/60)^circ`

= 37° + 0.5° = 37.5°

`= 75^circ/2`

37°30′ = `75/2 xx pi/180` radians

`= (5pi)/(2 xx 12)`

= `(5pi)/24` radian