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Maths-

General

Easy

Question

A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

hint Hint:

Perimeter of circle = Perimeter of circle

The correct answer is: 154 cm2

It is given that Area of Square = 121 cm²
$rightwards double arrow$ (side)²= 121 cm²
$rightwards double arrow$ side = = 11 cm
Perimeter of square = 4 × side
= 4 × 11 = 44 cm
Now, since same wire is used to make circle it implies that perimeter of square which is the length of the wire will be equal to perimeter of the circle.
Perimeter of circle = Perimeter of square
$rightwards double arrow$ 2 $straight pi$ r = 44
$rightwards double arrow$ 2 ( $22 over 7$ ) r = 44
$rightwards double arrow$ r = 7 cm
Now, Area of circle = $straight pi$ r²
= $22 over 7$ × 7² = 22 × 7 = 154 cm²

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