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13. The sum of circumferences of four small circles of equal radius is equal to thecircumference of a bigger circle. Find the ratio of the area of the bigger circle to that ofthe smaler circle.

Answer»

Four small circle having radius=rbigger circles radius is=RCircumference of circle is =2×π×r4×2πr=2πRR=4rArea=area of bigger circle/area of small circleArea=π×R×R/π×r×rArea=(R/r)^2(put value of R in given )=4×4=16



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