What is pi? If the area of a circle is 49π, what is its circumference? If a circle is inscribed in a square, what is the ratio of the areas of the circle and the square?
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 \( \pi \approx 22/7 \).