Question 2

A circle of radius 14 units is inscribed in a square. And a square is inscribed in the circle such that its sides are parallel to the first square then the area bounded between the two squares is equal to

Solution

The outer square has side equal to the diameter, 28, so its area is 784. The inner square has diagonal 28, so its area is $$\frac{28^2}{2} = 392$$. The area between them is $$784 - 392 = 392$$ sq. units.

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