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ft? (b) What is the area of the circle? ft2 (C) What is the area of the shaded sectio

ft? (b) What is the area of the circle? ft2 (C) What is the area of the shaded sectio

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 15CT
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Here is a figure made of a circle inscribed in a square. 8 ft If the radius of the circle is 8 ft: (a) What is the area of the square? ft? (b) What is the area of the circle? ft? (c) What is the area of the shaded section? ft?
Transcribed Image Text:Here is a figure made of a circle inscribed in a square. 8 ft If the radius of the circle is 8 ft: (a) What is the area of the square? ft? (b) What is the area of the circle? ft? (c) What is the area of the shaded section? ft?
Expert Solution
Step 1 (a)

From the figure it can be seen that circle is fully inscribed in the square such that circle touches the sides of the square. 

The diameter of the circle is equal to the side of the square. 

Thus, the side of the square is 2×8=16ft

 

The area of the square will be:

Area = Side×Side       =16×16       =256ft2

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