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A rectangle is placed around a semicircle as shown below.

A rectangle is placed around a semicircle as shown below.-example-1
User Sziro
by
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1 Answer

6 votes

Answer:

Step-by-step explanation:

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

Considering the rectangle,

length = 6

width = 6/2 = 3

Area of rectangle = 6 x 3 = 18

The formula for calculating the area of a semicircle is expressed as

area of a semicircle = 1/2 x πr^2

where

r = radius

From the information given,

diameter = 6

radius = diameter/2 = 6/2

r = 3

π = 3.14

Area of semicircle = 1/2 x 3.14 x 3^2 = 14.13

Area of shaded region = 18 - 14.13

Area of shaded region = 3.87 ft^2

User MouradK
by
3.6k points