Question

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)

Answer 1

Answer:

52$\pi$

Step-by-step explanation:

The total shaded are will be the area of big circle - not shaded circle + little shaded circle.

The are of big shaded circle: $\pi$$r^{2}$ So, A=$\pi$(8^2)= 64$\pi$

The are of not shaded circle: $\pi r^{2}$ So, A= $\pi$(4^2)= 16$\pi$

The are of little shaded cirlce: $\pi r^{2}$ So, A=$\pi$(2^2)= 4$\pi$

64$\pi$ - 16$\pi$ + 4$\pi$= 52$\pi$