Question

Convert the following angle from degrees to radians. Express your answer in simplestform.285°

Answer 1

Answer:
4.97 radians (or 5 radians if rounding)

Step-by-step explanation:
The formula for converting degrees to pi is (a) x pi/180
Plugging in 285 it becomes
285 x pi/180 =
And when we use a calculator to find it you will get 4.97 or 5 radians

Answer 2

19π/12

Explanation:

We know that

180 degrees = π radians

and we are asked

285 degrees = ? radians?

This can be treated as a ratio problem by saying that

`(180)/(\pi)=(285)/(x)`

where x is the angle in radians.

Cross multpication gives

`180x=285\pi`

dividing both sides by 180 gives

`x=(285\pi)/(180)`

`x=(19)/(12)\pi`

where we have used the fact that 285/12 = 19/12.