Q31 of 47 Page 1

In the given figure, ΔABC is a right-angled triangle in which ∠A is 90°. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region.


As it is right angled triangle, we know




As you can observe, area of shaded region = area of ∆ABC+ area of semicircle on side AB + area of semicircle on side AC - area of semicircle on side BC



(Since triangle sides are diameter of respective circles and radius will be half of it)



= 6 + π(0)


= 6 cm2


Conclusion: Therefore, area of shaded region is


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