INT2 8-79 Student eTool | Desmos

b. Refer to the circles at right. What is the ratio of their circumferences (perimeters)? What is the ratio of their areas? Explain.

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c. If the area of a circle with radius 1 unit is π square units, what is the area of a circle with radius 3 units? With radius 10 units? With radius r units?

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d. Likewise, if the circumference (perimeter) of a circle with radius 1 unit is 2π units, what is the circumference of a circle with radius 3 units? With radius 7 units? With radius r units?

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HINT: Drag the slider to explore circle area and circumference for various radii.

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Expression 8: "r" equals 3

1

9

8

9

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"r" equals 3

Area =

9 pi

6 pi

Circumference =

units

square units

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