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In fig ABC is a right angled triangle in...

In fig ABC is a right angled triangle in which `/_A=90^@`, AB = 21 cm and AC=28cm Semi-circles are described on AB, BC and AC as diameters. Find the area of the shaded region

Text Solution

Verified by Experts

`BC^2=AB^2+AC^2`
`BC^2=21^2+28^2`
`BC=7*5=35`
Shaded region`=pi/2(21/2)^2+pi/2(28/2)^2+1/2*21*28-1/2pi(35/2)^2`
`=0+1/2*21*28`
`294cm^2`
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