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प्रश्न
The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq. m. Find the area of the circle.
उत्तर
Area of the square = 484 m2
Side of the square = `sqrt 484` = 22 m
Perimeter of the square = 4 x 22 = 88m
Perimeter of square = circumference of circle
2 π r = 88
r = `88 xx 7/22 xx 1/2`
r = 14 m
Radius of circle = 14 m
Area of the drde = πr2
`= 22/7 xx 14 xx 14`
= 616 m2
Hence, area of the circle = 616 m2
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