In the given figure, ABC is a right angled triangle. Semicircles are drawn on AB, AC and BC as diameters. If AB = 6 cm and AC = 8 cm, then find the area of the shaded region.
PLEASE SOLVE THIS QUESTION!
NOTE: In the following diagram, measurements have been given wrong.Please refer to question above for actual measurements!
Area of shaded part = Area of both smaller semicircles + Area of triangle- Area of bigger semicircle
= 1/2 pi 3^2 + 1/2 pi 4^2 + 1/2 *8 *6 - 1/2 pi 5^2
= 1/2 pi (9+16) - 1/2 pi (25) + 1/2*8*6
= 0 + 1/2 *8*6 = 4*6 = 24 cm^2
= 1/2 pi 3^2 + 1/2 pi 4^2 + 1/2 *8 *6 - 1/2 pi 5^2
= 1/2 pi (9+16) - 1/2 pi (25) + 1/2*8*6
= 0 + 1/2 *8*6 = 4*6 = 24 cm^2