Circle o has a radius of 12 inches find the exact length of semicircle hji

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.

Step-by-step 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