Question

A copper wire when bent in the form of a square encloses an area of 272 1 upon 4 square if the same wire is bent to form a circle find its diameter​

Answer 1

Answer:

Answer

Correct option is

A

346.5 cm

2

Area of the square =272.25cm

2

Let a be the side of the square.

Thus, a

2

=272.25

=>a=

272.25

=>a=16.5 cm

Length of the wire is same, thus

Perimeter of the square= circumference of the circle

=>4a=2πr

=>r=

22

2a×7

=>r=

22

2×16.5×7

=>r=10.5cm

Now area of the circle =πr

2

=

7

22

(10.5)

2

=346.5cm

2