Question

What is the area of a sector of a circle that has a diameter of 10 in. if the length of the arc is 10 in?

Answer 1

I found: Surface: `S=25` in^2

Explanation:

The area `S` of your "slice" is:
`S=1/2r^2theta`
where:
`r=10/2=5` in is the radius
`theta` is the angle in radians formed by your slice.

You can find the angle remembering that the arc length `l` is:
`l=rtheta`
so that `theta=10/5=2rad`
finally:
Surface: `S=1/2(5^2)*2=25` in^2