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46. Pour equal cireles ore described ot thefour lorners of a square ) that eachtoucheg two of the others. The shadedarea enclosed between the circles isem2, Find the radius of each cireleCBSE 2018

Answer»

Shaded area = area of square - sum ofareasof 4 quadrantsLet the radius of circle be r cmthen side of square will be 2r cmA/q24/7 =(2r)² - 4×(1/4)×πr² =4r² - 22/7 r²⇒24/7 = 6r²/7⇒r² =4⇒r =2 cmhence , the radius of each circle is 2 cm

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