Question

If the sector formed by a central angle of 30° has an area of `pi/3` square centimeters, what is the radius of the circle?

Answer 1

The radius is `2`

Explanation:

The area of a circle with radius r is `pi*r^2` now that corresponds to an angle of `2pi` or `360^0`

Hence

`360` -> `pi*r^2`

`30` -> `pi/3`

So we have that

`360/30=(pi*r^2)/(pi/3)=>3r^2=12=>r^2=4=>r=2`