Question

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

Answer 1

Answer: C) 5 in

Explanation:

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Answer 2

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`