Question

Find the radius and area of a sector of perimeter 36 cm with an angle of 2π/3.

Answer 1

Already I've set up an equation for the perimeter: 2x + y = 36, where x is the radii and y is the arc length

Answer 2

The problem is that I don't know how to go from here...I just know that I need to possibly make a system of equations????

Answer 3

Recall the relationship between arc length and angle subtended by the arc..

Answer 4

l = theta*r????

Answer 5

Exactly!!

Answer 6

You know theta, and r... And here, l will be your y...

So, there you go.. you have a system of equations