Convert the angle in degrees to radians. Express your answer as a multiple of π. 25° I did this... \frac{25}{} * ( \pi radian)/(180) = 0.436 But my online homework says it'…

Question

Convert the angle in degrees to radians. Express your answer as a multiple of π.

25°

I did this...

`\frac{25}{} * ( \pi radian)/(180) = 0.436`
But my online homework says it's incorrect...

Answer 1

Converting 25 degrees to radians:

180° = π radians.

1° = π/180 radians.

25° = (π/180 radians) * 25

= (25/180) * π radians.

Leaving the answer in terms of π, 25/180 = 5/36

= (25/180) * π radians = (5/36)π radians or ≈ 0.1389π radians.


Therefore 25° = (5/36)π radians or ≈ 0.1389π radians

I hope this explains it.

I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

= (5/36)π radians or ≈ 0.1389π radians