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Question

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the area of the circle. If the same wire is bent into the shape of a square, what will be the area of the square? (Take π =227)

A
158 cm2,128 cm2
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B
156 cm2,131 cm2
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C
126 cm2,151 cm2
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D
154 cm2,121 cm2
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Solution

The correct option is D 154 cm2,121 cm2
From the question it is given that,
Length of wire that Shazli took = 44 cm

If the wire is bent into a circle,
We know that, circumference of the circle = 2πr
44=2×(227)×r
44=447×r
44×744=r
r = 7 cm

Area of the circle =πr2
=227×72=227×7×7=22×7=154 cm2

Now, if the wire is bent into a square,
Length of each side of square = 444 = 11 cm
Area of the square = (side)2
=(11)2 cm2
=121 cm2

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