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Four equal circles are described at the four corners of a square so that each touches two of the others. The shaded area enclosed between the circles is

cm2. Find the radius of each circle.


Let the side of square be 2x Area of square =side ^2=4x^2 Draw diagram according to question Radius of square be x These quardent of 4square will form a circle which comes in square Area of circle =pi x^2 According to question x^2(4 -pi)=24/7 x^2(6/7)=24/7 x=+-2 Negative 2 will rejected So.radius of circle will be 2 cm
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