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Question
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take `pi = 22/7`)
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Solution
Circumference = `2pir` = 44 cm
`2 xx 22/7xx r = 44`
r = 7 cm
Area = `pir^2`
= `22/7xx 7 xx 7`
= 154 cm2
If the wire is bent into a square, then the length of each side would be = `44/4`
= 11 cm
area of square = (11)2
= 121 cm2
As 154 > 121
Therefore, circle encloses more area.
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