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 A path of 4m width runs rounda semi-circular grassy plot whose circumference is 163+3/7 m. find   1. area of the path 2.cost of gravelling the path at the rate of Rs 1.50 per sq.m 3.cost of turfing the plot at the rate of 45 paise per sq.m  
Asked by govtsecschoolnayaganv051 | 17 Jan, 2018, 04:35: PM
answered-by-expert Expert Answer
begin mathsize 16px style Length space of space semi space circle space path equals 163 3 over 7 space straight m πr equals 1144 over 7 straight r equals 1144 over 7 cross times 7 over 22 straight r equals 52 space straight m radius space of space semi space circle equals 52 space straight m width space of space path space equals space 4 space straight m straight R space equals space radius space of space outer space semi space circle space equals space 52 plus 4 equals 56 space straight m Area space of space path space equals space 1 half πR squared minus 1 half πr squared equals 1 half straight pi open parentheses straight R squared minus straight r squared close parentheses equals 1 half cross times 22 over 7 open parentheses 56 squared minus 52 squared close parentheses equals 653.71 space straight m squared Cost space of space gravelling space equals 653.71 cross times 1.5 equals Rs. space 980.56 Cost space of space turfling equals 653.71 cross times 0.45 equals Rs. space 294.16 end style
Answered by Sneha shidid | 17 Jan, 2018, 06:39: PM

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