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+1 vote
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in Surface Areas And Volumes by (50 points)

 plot of land as shown in the figure has to be levelled. If the rate of levelling is Rs 50 per square 
metre, then find the total charges for levelling the shaded region.

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1 Answer

+1 vote
by (17.0k points)
edited by

Krishna0080, hello

Since it was not specified, I am making the assumption that the shaded portion on the right and the unshaded portion on the lower left are halves of circles.  Therefore the area of the shaded portion of the figure is the area of the rectangular portion, plus the area of the half circle on the right, minus the area of the unshaded half circle on the lower left.  Or:

Area = (4m x 6m) + 1/2(pi x (2m)2) - 1/2(pi x (1m)2)

Using 22/7 as an approximation for pi, we get the total area as approximately 28.7124 m2

At Rs 50 per square meter the total charges will be approximately Rs 1435.62

Please let me know if this helped you.

by (50 points)
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