Question

In a circle, a 225° sector has area 250pi in^2. What is the radius of the circle?

Answer 1

r = 200

Explanation:

`Area of sector = ((225)/(360))`×πr² =
`((5)/(8))` ×πr²

`((5)/(8))` ×πr² = 250π

`((5)/(8))` ×r² = 250

r² =
`((8)/(5))` × 250

r² = 400

r = 200 (r is a length so, it's positive)