Question

In the given figure, what is the ratio of the area of the square to the
circle ? (Take π = 22/7)

Answer 1

please wait 5 minutes .I will solve fast

Answer 2

Answer:

7 : 11

Step-by-step explanation:

Let, the radius of the circle is r unit and the length of the side is a unit

∴ The area of the circle is = π × r² = $\frac{22r^{2} }{7}$ sq. unit

∴ The diagonal of the square is = 2r unit

According to the formula,

             √2 × a = 2r

         => a = $\frac{2}{\sqrt{2} } r$ = √2 r unit

∴ The length of the side is = r √2 unit.

∴ The area of the square is = (r √2)² = 2r² unit.

∴ The ratio of the area of the square to the  circle is =2r² : $\frac{22r^{2} }{7}$ = 1 : $\frac{11}{7}$ = 7 : 11