Question

find the area of shaded portion

Answer 1

Hi !

Area of figures inside the circle :-

Area of triangle = 1/2bh = 1/2*3*5  = 7.5 cm²

Area of 2 squares = 2* a² = 2* 2² = 8 cm²

Area of 1 semi circle = πr²/2 = 22/7* 1.25*1.25/2 = 4.91/2
                                   = 2.45 cm²

Total area of figures inside the circle =  2.45  + 8 + 7.5 = 17.95 cm²

Area of full circle = πr² = 22/7*6*6
                                     = 113.14 cm²

Area of shaded region =  113.14 cm² -17.95 cm²
                                    = 95.19 cm²

Answer 2

Area of figures inside the circle :-

Area of triangle = 1/2bh = 1/2*3*5  = 7.5 cm²

Area of 2 squares = 2* a² = 2* 2² = 8 cm²

Area of 1 semi circle = πr²/2 = 22/7* 1.25*1.25/2 = 4.91/2

                                  = 2.45 cm²

Total area of figures inside the circle =  2.45  + 8 + 7.5 = 17.95 cm²

Area of full circle = πr² = 22/7*6*6

                                    = 113.14 cm²

Area of shaded region =  113.14 cm² -17.95 cm²

                                   = 95.19 cm²