Canal Surrounding a city.
A canal is surrounding a circular city of diameter 4 kilometres. Four lampposts are located on the border of the city close to the canal at locations A,B,C and D, such that a direct path from A to C cuts another direct path from B to D perpendicularly at a junction E. The value of EA^2 + EB^2 +EC^2 +ED^2 is
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1 solution
A, B, C,D can be any points on the circle . So it can be arranged in such a way that AC and BD are diameters of the circle and they will intersect at Centre E. So EA=ED=EB=EC=Radius=2.