M.GHS.25
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
Example Problems
The diameter of a circle is 10 units.
What is its circumference?
Use 3.14 for .
What is its circumference?
Use 3.14 for .
The diameter of a circle is 25 units.
What is its circumference?
Use 3.14 for .
What is its circumference?
Use 3.14 for .
The diameter of a circle is 6 units.
What is its circumference?
Use 3.14 for .
What is its circumference?
Use 3.14 for .
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