Rectangular Area of a Circle

Topic:
Area, Circle
This worksheet will help you discover the area of a circle by approximating the area of a pseudo-rectangle.
Use the slider to change the number of sections the circle is divided into.
  1. How do the area of the red shape and the circle compare to one another?
  2. As gets larger, what shape does the red figure approach?
  3. If could be infinitely large, what shape would the red figure be?
  4. What is the length of the red shape's shortest side?
  5. What is the length of the red shape's longest side?
  6. What is the area of the red shape?
  7. What is the area of the circle?