Determine the perimeter and area of the shape shown below. (Both rounded regions are semicircles.) 8 in 8 in Perimeter: inches Area: square inches Use the T button on your calculator to make sure your answer is as accurate as possible. Round your answer to the nearest hundredth as needed.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Determine the perimeter and area of the shape shown below. (Both rounded regions are semicircles.)

 
 

Perimeter:   ?  inches

Area:      ?  square inches

Use the π button on your calculator to make sure your answer is as accurate as possible.
Round your answer to the nearest hundredth as needed.

Determine the perimeter and area of the shape shown below. (Both rounded regions are semicircles.)
8 in
8 in
Perimeter:
inches
Area:
square inches
Use the T button on your calculator to make sure your answer is as accurate as possible.
Round your answer to the nearest hundredth as needed.
Transcribed Image Text:Determine the perimeter and area of the shape shown below. (Both rounded regions are semicircles.) 8 in 8 in Perimeter: inches Area: square inches Use the T button on your calculator to make sure your answer is as accurate as possible. Round your answer to the nearest hundredth as needed.
Expert Solution
Step 1

In above diagram ,

Given a square of side a=8in

And same diameter for two semi circles

d=8in  and r=4in

Formula:

Area of square = a2

Area of semi circle =πr2/2

Perimeter  of a square = 4a

Perimeter of semi circle =πr

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