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Circle O has a radius of 12 inches find the exact length of semicircle HJI

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Answer:

Assuming that HJI is semicircle of Circle O having radius =12 inches , exact length of semicircle HJI = 61.71 inches correct up to two decimal place.

Explanation:

Assuming that HJI is semicircle of Circle O having radius =12 inches.

exact length of semicircle = perimeter of semicircle = half of circumference of circle + diameter of circle

half of circumference of circle = 1/2(2πr) = πr [ where π=22/7 and r is radius ]

diameter of circle = 2r

⇒exact length of required semicircle = πr+2r=r(π+2) = 12((22/7)+2) since radius is 12 inches.

⇒exact length of required semicircle = 61.71 inches



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