Question

A steel wire when bent in the form of a square encloses an area of 169sq cm. If the same wire is bent in the form of a circle, find the area of the circle.

Answer 1

215.177 cm^2

Explanation:

To get the length of the wire we do the square root of 169 to get 13.

This means each side of the square is 13 cm long, so we do 13 times 4 to get total length of the wire.

This gives us a wire length of 52 cm and this is also equal to the circumference of the circle.

Setting 52=2πr (Circumference formula), we can rearrange this to 52/2π=r and get the radius to be equal to 8.276 cm.

After this we plug in the radius to the formula for area of a circle, A=πr^2 and get the area of the circle to be 215.177 cm^2