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General

General

Easy

Question

A circle is inscribed in a square, as shown . If the diagonal of the square is 36 units, what is the diameter of the circle?

$3 \sqrt{2}$
$9 \sqrt{2}$
$18 \sqrt{2}$
$36 \sqrt{2}$

hint Hint:

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

The correct answer is: $18 square root of 2$

The diameter of the circle is equal to the side of the square. By Pythagorean Theorem:-
s²+s²=36²
2s²=1296
s²=648
s= $square root of 648$
s=18 $square root of 2$

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MathematicsGeneral

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