Question

A triangle is placed in a semicircle with a radius of 6ft, as shown below. Find the area of the shaded region.

Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

20.52 ft^2

Step-by-step explanation:

radius = 6 ft

diameter = 2r = 12 ft

Area of semi-circle

Area = (
`\pi` r^2)/2

Area = (3.14 x 6^2)/2

Area = (3.14 x 36)/2

Area = (113.04)/2

A = 56.52 ft^2

Area of triangle

A = 1/2 bh

A = 1/2(12)(6)

A = 6 x 6

A = 35 ft^2

Area of shaded = 56.52 ft^2 - 35 ft^2 = 20.52 ft^2