Question

a copper wire when ben in the form of square encloses an area of 121 cm sq. if same wire is bent into the form o circle find the area of the circle.

Answer 1

Area of square =121

Since area of square = side × side =121

So each side equals 11.

Now perimeter will be 11×4 = 44

(as perimeter = side × 4)

The same wire is bent into a shape of a circle, so the circumference (perimeter) of the circle will be 44.

Now circumference of circle will be 2×pie×r

Where pie=22÷7, r is radius.

So 2×22×r÷7=44

By calculation, r=7

Now area of circle is pie ×r×r

So by calculation, area of circle is 154.

Answer 2

area of square=121

side =11

perimeter=11*4

=44

perimeter of circle=44

radius=7

area of circle=pie*r*r

=7*22/7*7

=154cm square

hopeyou get benefitted