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baherus [9]
3 years ago
7

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

Mathematics
1 answer:
Nady [450]3 years ago
4 0

Answer:

21.07 yd^2

Step-by-step 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

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