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A circle is inscribed in a square with a perimeter of 32 inches. What is the area of the circle, in square inches? Express your answer in terms of pi.

 Dec 16, 2021
 #1
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Each SIDE of the square is 32/4 = 8 inches..... this is also the circle DIAMETER.... Now, can you finish?

Area of circle = pi r2

 Dec 16, 2021
 #2
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Since, a circle is inscribed in a square, it means that the side of a square is equal to the diameter of a circle.

Since, the perimeter of a square is 32 inches.

A perimeter is a path that surrounds the two dimensional shape.

Perimeter of square is given by 

side 

side = 8 inches.

Since, side of a square = diameter of a circle

Therefore, diameter of a circle = 8 inches.

radius of a circle =  , where d is the diameter

radius =  = 4 inches.

The perimeter of a circle is termed as Circumference.

 

You can solve from here.

 

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 Dec 16, 2021

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