In the above figure, which shaded area is larger?
The small circles all have the same size.
When sketching out Leonardo Da Turtle, I started out with a green circle of radius 2, and then added a blue band across his eyes. The circular arcs of the blue band each subtend an angle of 60 degress at the center. And 2 triangles to fill in the gap. Finally, I added eyes of diameter 1.
What is the (visible) area of the blue band?
What is the perimeter of a semicircle with radius 7?
Use the approximation \( \pi \approx 22/7 \).
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