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# Common Core Standard HSG-GMD.A.1 Questions

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.

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What is the radius of a circle with a circumference of 14?
1. $(2pi)/14$
2. $(2pi)/7$
3. $14/pi$
4. $7/pi$
Find the circumference of a circle with a radius of $3/(2pi)$.
1. $(3pi^2)/2$
2. $3$
3. $2/3$
4. $.4$