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

Convert the following angle from degrees to radians. Express your answer in simplestform-example-1
User Dibu
by
7.9k points

2 Answers

1 vote
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
User John Gathogo
by
6.9k points
3 votes

Answer:

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.

User Mark Lodato
by
7.2k points