Question 68
A square has the perimeter equal to the circumference of a circle having radius 7 cm. What is the ratio of the area of the circle to area of the square?(Use $$\pi = \frac{22}{7}$$)
Solution
Radius of the circle = 7 cm
Circumference of the circle = $$2\times\frac{22}{7}\times7$$ = 44 cm
Perimeter of square is equal to the circumference of the circle.
Perimeter of the square = 44 cm
Let the side of the square = a
4a = 44
a = 11 cm
Ratio of the area of the circle to area of the square = $$\frac{22}{7}\times7^2\ :\ 11^2$$
= 14 : 11
Hence, the correct answer is Option C
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