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What radius of a circle is required to inscribe a square with an apothem of 3.536 inches?

User Meinhard
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2 Answers

4 votes

Answer: C) 5 in

Explanation:

Got this right on USA test prep

User Twhb
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Answer:

The radius of the circle required is 5 inches

Explanation:

we know that

The diagonal of the square is the diameter of the circle

The length side of the square is half the apothem

Let

a ----> the apothem

r ---> the radius of the circle (half the diagonal of the square)

Applying the Pythagorean Theorem


r^2=a^2+a^2

we have


a=3.536\ in

substitute


r^2=3.536^2+3.536^2


r^2=25\\r=5\ in

User Misunderstood
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