# Let suppose a square of side 1 unit. now draw the circle of radius 1 unit at each vertex of square. here concentrate on the common area in the square , made by all four circles. divide all common parts in the square in p, q & r. So find out the values of p, q and r.

jagdish singh singh
173 Points
10 years ago

$\hspace{-16}\alpha+4\beta+4\gamma = (4)^2..................................(1)\\\\ Area of Quarter Circle OAB is \\\\ \alpha +3\beta +2\gamma = \frac{1}{4}.\pi.(4)^2............................(2)\\\\ Area of OPA is \\\\ \alpha+2\beta+\gamma = 2.\left(\frac{1}{2}(4^2).\frac{\pi}{3}-\frac{\sqrt{3}}{4}.(4^2)\right)+\frac{\sqrt{3}}{4}.(4^2)........(3)\\\\ Here I have calculate Using each side is =4 square unit instead of 1 unit\\\\ So Three equation and three values..........$