G.GMD.A.1: 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.

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

A round Zootopia 2 movie poster has a circumference of

60\pi

inches.
What is the radius of the poster in inches?

A coin has a circumference of

6\pi \text{ millimeters}

.
What is the diameter of the coin in millimeters?

A round mirror has an area of

64\pi \text{ square inches}

.
What is the mirror's circumference in inches?

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