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Semi circle word problem
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To find : Cost of fencing Perimeter = r(π + 2) [ π = ,r = 35 ]
Example 1: Radius of a semicircle flower garden is 35m. What is the cost of fencing it at the cost of Rs.15 per metre. Solution Given: Radius of the garden = 35m , Cost of fencing per metre = Rs.15 To find : Cost of fencing Perimeter = r(π + 2) [ π = ,r = 35 ] = 5 x 36 = 180m Cost of fencing for m = Rs.15 Cost of fencing for 180m = ? Total cost = No.of metres x Cost for 1 metre = 180 x 15 = Rs. 2700 Answer: Cost of fencing is Rs.2700 P = 180m 5 r = 35
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To Find: Radius of the park Total cost = No.of metres x cost per metre
Example 2 : Cost of fencing a semicircular path at a rate of Rs.8 per metre is Rs What is the radius of the park ? Solution: Given : Cost of fencing per metre = Rs.8 , Fencing cost = Rs.1152 To Find: Radius of the park Total cost = No.of metres x cost per metre = a x [let no.of metres be ‘a’] Perimeter = r(π + 2) r =4 x 7 = 28 Ans: Radius of the park is 28m. P = 144m r = 28 4 24 6
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Try these The radius of a semicircular hall is 21 m. What is the cost of fencing it at the cost of Rs.20 per metre ? The cost of fencing a semicircular park at the rate of Rs.10 per metre is Rs What is the radius of the park.
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