Question

How do you convert 60 degrees to radians?

Answer 1

Step 1: Given

Angle = ${60}^0$

Step 2: Radian and degree

1. The amount of angle produced by a unit arc in the center of a circle, is called radian.
2. A degree is the ninetieth of a right angle.
3. ${180}^0$= $\pi$ radian.

Step 3: Conversion of degree into radian

We know that 1 degree = $\frac{\pi }{180}$ radian.

So, 60 degrees = $\frac{\pi }{180}\times 60=\frac{\pi }{3}$ radian.

Therefore, 60^o is equal to $\frac{\pi }{3}$radian.