Question

A square is inscribed in a circle. Calculate the ratio of the area of the circle and the square​

Answer 1

Answer:

11:7

Step-by-step explanation:

if a square is inscribed in a circle then the diagonal of a square is equal to diameter of circle

let side of square(a)=x

then diameter=$\sqrt{2} x$

radius=$\frac{\sqrt{2}x}{2}$

area of circle=⊼$r^{2}$

                    =$\frac{22}{7}$×$( \frac{\sqrt{2}x}{2})^2$

                   =$\frac{11x^2}{7}$

area of square=$a^2$

                       =$x^2$

ratio=area of circle/area of square

        =$\frac{\frac{11x^2}{7}}{{x^2}}$

         =11/7

         =11:7

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