Question

4. As shown in Figure 5.111 to the right if the

Answer 1

Answer:

Area of the shaded part is 3.14 square unit.

Step-by-step explanation:

Area of the shaded part = Area of large semicircle - (Area of two small semi circles)

Area of large semicircle with center O = $\frac{1}{2}(\pi r^2)$

                                                                = $\frac{1}{2}\pi (2)^{2}$

                                                                = 2π

Area of semicircle with center O' = $\frac{1}{2}\pi (1)^2$

                                                      = $\frac{\pi }{2}$

Area of semicircle with center O" = $\frac{\pi }{2}$

Now substitute these values in the formula,

Area of shaded part = $2\pi - (\frac{\pi }{2}+\frac{\pi }{2})$

                                  = $\pi$

                                  = 3.14 square unit

Area of the shaded part is 3.14 square unit.