Question

In a factory, a square sheet of metal has of a circle cut from it, as shown. The center of the circle is on one vertex of the square. What is the perimeter of the shaded region to the nearest hundredth?

Answer 1

14.28 ft

Explanation:

Perimeter of the shaded region = 2(side of the square) + ¼(circumference of circle)

Side of the square = 4 ft

Circumference of circle = 2πr

r = 4

Circumference = 2*π*4 = 25.1327412 ft

✔️Perimeter of the shaded region = 2(4) + ¼(25.1327412) = 14.2831853 ≈ 14.28 ft (nearest hundredth)