Question

An angle measuring 5.25 radians is equal to which of the measures given below? Check all that apply. - 300 degrees 48’ - 16.49 degrees - 16degree 24’ -300.8 degree

Answer 1

300.8 degrees

Explanation:

in a circle full angle is
`2\pi` radian

In degrees the value of angle is 360.

Thus

`2\pi` radian is same as 360 degrees

thus

`2\pi` radian= 360 degrees

dviding both side by
`2\pi`

`2\pi` /
`2\pi` radian= 360/
`2\pi` degrees

1 radian= 360/
`2\pi` degrees

multiply both side by 5.25

1*5.25 radian= (360/
`2\pi`) * 5.25 degrees

using value of
`\pi` as 3.14 we have

5.25 radian= (360/2*3.14) * 5.25 degrees = 300.8 degrees