Question

Which of the following are equal to 60 degrees?

-300 degrees
Pi/6 radians
Pi/3 radians
Pi - 2/3
5/3 pi radians
1.047 radians

Answer 1

Since 180 degrees are the same as
`\pi` radians, we have the following proportion:

`\text{radians angle}/\text{degrees angle}=\pi/180`

Since your angle, in degrees, is 60, we have

`\text{radians angle}/60=\pi/180`

Solving for the angle in radians, we have

`\text{radians angle}=(60\pi)/(180)`

Simplify this fraction and you'll get the answer.

Answer 2

pi / 3 radian

Explanation:

pi / 3 radian

= (pi / 3)*(180/pi) Degree

= 60°