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The circumference of the large semicircle is pi-r

radius of the smaller semi circles are r1 r2 r3 r4... thus their circumference is pi-r1 pi-r2 so on..

pi-r = pi(r1+r2+r3..)

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Q: Prove that the sum of perimeter of inscribed semicircle is equal to the perimeter of outside semicircle?
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