Semi circles are constructed on the three sides of a triangle as shown below. Find the area of the shaded region
The diameter of the largest semi - circle = sqrt (6*2 + 8^2) = sqrt 100 = 10
So its radius = 5
And the radius length of the other two semi-circles are 3 and 4
So.....the shaded area =
(1/2) pi ( 5^2 + 4^2 + 3^2) =
(1/2) pi (50) =
25 pi units^2
