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In the adjoining figure four equal circles are described at the four corners of a square sothat each touches two of the others. The shaded area enclosed between the circles is24 .2cm. Find the radius of each circleЕЗ

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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