Perimeter of sector

[jinx24]

The problem I am working on asks to find the area and perimeter of the given sector.

A = (1/2)r^2(theta)

I don't know what the formula is for the perimeter, and I can't find it anywhere.

Thanks for your help!

 

[soroban]

Hello, Jinx!

The problem I am working on asks to find the area and perimeter of the given sector.

\(\displaystyle \text{Area}\:=\:\frac{1}{2}r^2\theta\)

I don't know what the formula is for the perimeter.

We are expected to figure it out . . .

              *
             /  *
          r/     *s
         /  θ 
       *----------*
              r

We know that: \(\displaystyle s \:=\: r\theta\) . . . right?

Therefore: \(\displaystyle \,\text{Perimeter} \:= \:2r\,+\,r\theta\)