Question

A rectangle is placed around a semi circle as shown below. The width of the rectangle is 7yd. find the area of the shaded region. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct units in your answer

Answer 1

21.07 yd^2

Explanation:

The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.

The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.

area of shaded region = area of rectangle - area of semicircle

A = LW - (1/2)(pi)r^2

A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2

A = 98 yd^2 - (1.57)(49 yd^2)

A = 98 yd^2 - 76.93 yd^2

A = 21.07 yd^2