Question

a square of area s centimetre square is made by a rope.
again a circle is made by the same rope. the area of circle is

Answer 1

Area of square = (Side Length)²
s = (Side Length)²
Side length = √s cm

Length of the rope = 4 × Side Length
= 4√s cm

Now, circle is made by the rope

Length of the rope = Circumference of circle = 2 πr
4√s = 2 πr
r = 4√s / (2 π)
r = 2√s / π cm

Area of circle = π r²
= π × [2√s / π cm]²
= 4sπ cm²

∴ Area of circle is 4sπ cm²