Question

if the perimeter of a circle is equal to that of a square then what are the ratios of their areas ​

Answer 1

Answer:

14:11

Step-by-step explanation:

According to question,

2πr = 4a

a = 2πr/4 = πr/2

Area of square = a² = (πr/2)² = π²r²/4

Areaof circle = πr²

Ratio of areas = πr² ÷ π²r²/4 = πr² * 4/π²r² = 4π¹⁻²r²⁻² = 4/π = 4 ÷ 22/7 = 4*7/22 = 2*7/11 = 14/11 = 14:11