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A composite figure is created using asquare and a semicircle. What is the area ofthe figure?12 in200.52202.52204.52206.52

A composite figure is created using asquare and a semicircle. What is the area ofthe-example-1
User Hrach
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1 Answer

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The area of the composite figure will be the sum of the area of the square and the area of the semicircle. The formula for determining the area of a square is expressed as

Area = length^2

From the diagram,

length = 12

Area of square = 12^2 = 144

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

Area = 1/2 * pi * radius^2

Radius = diameter/2

The diameter of the semicircle is 12. Thus,

radius = 12/2 = 6

pi = 3.14

Area of semicircle = 1/2 * 3.14 * 6^2 = 56.52

Area of composite figure = 144 + 56.52 = 200.52 in^2

The first option is the correct answer

User Nick Grealy
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