jmc

We will deal with this part by part: Part 1: 1/4 circumference of big circle= $\frac{2\pi r}{4}=\frac{\pi r}{2}=\frac{20\pi }{2}=10\pi$ Part 2: Big radius minus small radius= $20-10=10$ Part 3: 1/4 circumference of small circle= $\frac{\pi r}{2}=\frac{10\pi }{2}=5\pi$ Part 4: Diameter of small circle: $2\ast 10=20$ Part 5: Same as part 3: $5\pi$ Part 6: Same as part 2: $10$ Total: $10\pi +10+5\pi +20+5\pi +10=\boxed{20\pi +40}$