Question

a wire is bent to form a square of side 110m.if the same wire is bend in the form of circle , find the are enclosed by it

Answer 1

Step-by-step explanation:

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

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Answer 2

Answer:

15400 sq. m

Step-by-step explanation:

Length of wire = 110m × 4 = 440m

Now, the perimeter of the circle = 440m , as the length of the wire will not change, obviously.

2 × 22/7 × r = 440

r = 70 m

Now, Area of the circle = 22/7 × 70 × 70 sq. m = 15400 sq. m