Question 69
If the length of a side of the square is equal to that of the diameter of a circle, then the ratio of the area of the square and that of the circle is: ($$\pi = \frac{22}{7}$$)
Solution
Given,
Length of a side of the square is equal to that of the diameter of a circle.
L = D
R = $$\frac{D}{2}$$
D = 2R
L = 2R
Area of square = $$\left(L\right)^2$$
Area of circle = $$\pi\ R^2$$
Required Ratio = $$\frac{(2R)^2}{\pi\ \left(R\right)^2}$$
= $$\frac{4}{\pi}\ $$
= $$\frac{4\times\ 7}{\ 22}\ $$
= $$\frac{4\times\ 7}{\ 22}\ =14\ :\ 11$$
Hence, Option A is correct.
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
