Question

A sector has an area of 50 ft sq, and a central angle of 45 degrees. Find the radius.

Answer 1

Explanation:

45° is 1/8 of a circle, so the area of the sector is 1/8 the area of the circle.

Area of circle = 8*50 = 400 sq ft

πr² = 400

r = √(400/π) = 20/√π ≈ 11.3 ft