Question

The applet below shows two line segments whose lengths represent the values of the radius and circumference of a circle. We will think about measuring the circumference using the radius as our unit of measure (or "unit ruler"). In the applet, you can vary the length of the radius by dragging the purple X's at the ends of the line segments. b. Drag the purple X to vary the circle's radius and consider how many times as long the circumference is compared to the radius. c. When the circle's radius is 1 cm, the circle's circumference is . d. When the circle's radius is 2.6 cm, the circle's circumference is . e. As the circle's radius and circumference vary together the circle's circumference is always times as large as the circle's radius. f. As the circle's radius and circumference vary together, the ratio (or relative size) of the circumference to the radius, C/r = .

          The applet below shows two line segments whose lengths represent the values of the radius and circumference of a circle. We will think about measuring the circumference using the radius as our unit of measure (or "unit ruler"). In the applet, you can vary the length of the radius by dragging the purple X's at the ends of the line segments.

b. Drag the purple X to vary the circle's radius and consider how many times as long the circumference is compared to the radius.

c. When the circle's radius is 1 cm, the circle's circumference is ______.

d. When the circle's radius is 2.6 cm, the circle's circumference is ______.

e. As the circle's radius and circumference vary together the circle's circumference is always ______ times as large as the circle's radius.

f. As the circle's radius and circumference vary together, the ratio (or relative size) of the circumference to the radius, C/r = ______.

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The applet below shows two line segments whose lengths represent the values of the radius and circumference of a circle. We will think about measuring the circumference using the radius as our unit of measure (or "unit ruler"). In the applet, you can vary the length of the radius by dragging the purple X's at the ends of the line segments.

b. Drag the purple X to vary the circle's radius and consider how many times as long the circumference is compared to the radius.

c. When the circle's radius is 1 cm, the circle's circumference is .

d. When the circle's radius is 2.6 cm, the circle's circumference is .

e. As the circle's radius and circumference vary together the circle's circumference is always times as large as the circle's radius.

f. As the circle's radius and circumference vary together, the ratio (or relative size) of the circumference to the radius, C/r = .

Added by Emilia Q.

Precalculus with Limits

Ron Larson 2nd Edition

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Solved by Expert Dheeraj

02/05/2022

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