Question

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Q9:-)ashraf took a wire of l=44cm and bent it into shape of circle. find the radius of that circle. also find its area. if the same wire is bent into the shape of sq. what will be the length of each of its side? which fig. encloses more area, the circle or the sq.?(take π = 22/7)

Answer 1

radius is 14
and area is 44

Answer 2

$wire \: length = 44cm \\ circumference \: of \: circle = 44 \: cm \\ 2\pi r = 44 \\ 2 \times \frac{22}{7} \times r = 44 \\ \frac{44}{7} \times r = 44 \\ r = 44 \times \frac{7}{44} \\ radius = 7 \: cm \\ area \: of \: circle \\ \pi r {}^{2} \\ \frac{22}{7} \times 7 \times 7 \\ 22 \times 7 \\154cm {}^{2} \\ length \: of \: each \: side \: of \: square \\ perimeter = 44 \: cm \\ 4 \times side = 44cm \\ side = \frac{44}{4} \\ side = 11cm \\ area \: of \: square \\ side {}^{2} \\ 11 {}^{2} \\ 121cm { }^{2} \\ area \: of \:circle \: is \: more$