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
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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