Question #255394

An Autonomous Landmine Sweeper is required to search and detect 8 landmines each of area 30 cm² placed in a circular surface area as shown in picture below. The circular test area is 165 cm diameter. While the Vehicle dimensions are 16 cm width and 22 cm length


Expert's answer

Area of Circle Ac=π41652=21382.46cm2A_c =\frac{\pi}{4}165^2 =21382.46 cm^2


Area of Vehicle Vc=16×22=352cm2V_c =16\times22=352 cm^2


Area cover by a vehicle on Circle A=21382.46352=60.74cm2A = \frac{21382.46}{352}=60.74 cm^2


detect 8 landmines each of area 30 cm²N=60.743.75=N = \frac{60.74}{3.75}= , then 1 landmine each of area


A(one)=308=3.75cm2A_(one)=\frac{30}{8}=3.75 cm^2


landmine detect by vehicle N=60.743.75=16N = \frac{60.74}{3.75}=16 Qty




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