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12. A 7m wide road runs around a circular park whosecircumference is 176 m. Find the cost of fencingthe outer boundary of the road at the rate of 21per m. |
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Answer» Circumference = 2πr = 176π = 22/72πr = 44r/7 = 176r = 7 x 176 / 44r = 28mSince, the road is 7m wide and a fence is to be put on the outer boundary, the new radius (r) becomes 7 + 28, which is 35m.Therefore, circumference = 2 x π x 35= 2 x 22 x 35 / 7= 2 x 22 x 5= 220mThe rate of fencing is Rs.21 per mThus, the cost of fencing = 21 x 220= Rs.4620 thanx bro |
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