Answer:
76.3 cm^2 to the nearest tenth.
Step-by-step explanation:
The area of the clear segment
= area of the sector - area of the triangle
= 1/6π r^2 - area of the triangle.
If we halve the equilateral triangle we have a 30-6-90 triangle whose height is 5 * 5*√3/2.
Area of the triangle = 1/2 base * height
= 1/2 * 5 * 5*√3/2
Area of the segment
= 1/6 * π 5^2 - 12.5 * √3/2
= 2.265 cm^2.
So the area of the shaded part
= π 5^2 - 2.265
= 76.27 cm^2.
