Question

In figure below, AABC is a right angled triangle in which angle A= 90. Semicircles are drawn on AB,
AC and BC as diameters. Find the area of the shaded region.
fastest answer will be marked as "Brainliest''​

Answer 1

Here is your answer:

BC²=AC²+AB²

      =8²+6²

      =64+36

       =100

BC=10cm

Area of biggest semicircle= 1/2 * 3.14 * r²

                                 =0.5*3.14*5*5

                                  =0.5*78.5

                                  =39.25 cm²

Area of 2nd Largest Semicircle = 0.5*3.14*r²

                                                     =0.5*3.14*3²

                                                   =0.5*3.14*9

                                                    =14.13 cm²

Area of smallest Semicircle = 0.5*3.14*r²

                                             =0.5*3.14*4²

                                             =0.5*3.14*16

                                             =25.12 cm²

Area of Triangle = 1/2 *b*h

                         = 0.5*6*8

                            =24 cm²

Area of shaded region = (24+25.12+14.13) - 39.25

                                    = 63.25-39.25

                                    =24 cm²

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