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

Answer:

300.8 degrees

Step-by-step 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