Q5 of 36 Page 249

The radius of a field in the form of a sector is 21 m. The cost of constructing a wall around the field is Rs. 1875 at the rate of Rs. 25 per meter. If it costs Rs. 10 per m2 to till the field, what will be the cost of tilling the whole field?

Radius of the sector (r) = 21 m


cost for constructing a meter wall = Rs. 25


cost of constructing a wall around the field = Rs. 1875


Total length of wall = = 75 m


perimeter of the sector = 75 m


l + r + r = 75 m


l + 2(21) = 75 m


l = 33 m


Arc length of CDB (L) = 33m


Area of the field =


=


= 346.5 m2


Cost of tiling 1 m2 = Rs. 10


Cost of tiling 346.45 m2 = 10 × 346.5


= Rs. 3465


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