Question

find the area of the shaded region in the given figure. ​

Answer 1

Answer:

462 square cm

the explanation is in the image

Answer 2

Answer:

462cm^2

Step-by-step explanation:

To find the area of the shaded region we have to find the area of the big circle and subtract the area of 2 semi-circles from it.

Radius of the big circle = 14cm

Area of the big circle = $\pi$r^2 = (22/7) * 14*14 =22*2*14 = 44*14 = 616cm^2

Radius of small circle = 14/2 = 7cm

Area of the 2 semi-circles = 2(1/2$\pi$r^2) = $\pi$r^2

                                           = (22/7) *7*7 = 22 * 7 = 154cm^2

∴The area of the shaded region = Area of bigger circle - Area of the 2                                                                                                                                                                                                                                                                     .                                                                                               semi-circles

                                                      = 616 - 154 = 462cm^2