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 π = $\frac{22}{7}$)
Answer & explanation
Correct answer: option 3
Here,
Perimeter of square = Perimeter of circle
4s = 2πr
4s = 2 × \(\frac{22}{7}\) × 7
4s = 44
s = 11 cm
Area of circle = \(\frac{22}{7}\) × 7 × 7 = 154 cm2
Area of square = (11)2 = 121
Now,
The ratio of the area of the circle to area of the square = 154 : 121 = 14 : 11