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

Step-by-step explanation:

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Answer 2

Answer:

The radius of the circle required is 5 inches

Step-by-step 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

$r^2=3.536^2+3.536^2$

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