Question

If the perimeter of a circle is equal to the perimeter of a square,show that the ratio of the area of the circle to the ratio of the area of the area of the square is 14:11.​

Answer 1

Answer:

According to the question

2πr(Circumference of a Circle) = 4*s(Perimeter of a Square)

πr = 2*s

22/7 r = 2*s

r/s = 7/11 ---------------------1

Area of Circle = πr²

Area of Square = s²

Ratio = πr²/s²

        ⇒22/7 * (r/s)²

        From 1

       ⇒ 22/7 * (7/11)²

       ⇒ 22/7 * 49/121

        ⇒ 2*7/11

        ⇒ 14/11

∴ Ratio of the square and circle = 14:11

Answer 2

Answer:

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