Question

There is a square of side “a” which has a circle inscribed in it. This circle has another square inscribed in it. Another circle is inscribed in this square. A third square is inscribed in this circle and a third circle is inscribed in this square. Find the ratio of the areas of the outermost square and the innermost circle

• A. a:2
• B. a:4
• C. a²: π
• D. a: π
• E. π

Answer 1

The correct option is C a²: π

If a=4, the square-circle-square….. ratio will be 4:$\pi$:2:$\frac{\pi }{2}$: 1:$\frac{\pi }{4}$

Answer is 4:($\frac{\pi }{2}$)= 16:$\pi$