Mahesh 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 π = 22/7)
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Answer:
Circumference of circle = 44cm
Radius of circle = r
A.T.Q :
circumference = 2πr
44 = 2 x 22/7 x r
44 x 7/2 x 22 = r
7cm = r
Area of circle = πr²
= 22/7 x 7x7
= 154cm
Perimeter of square = 44cm
Length of each side = 44/4 = 11cm
Area of square = side x side = 11 x 11cm
= 121cm
Thus , circle encloses more area
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