Section A Section A Checkpoint

Problem 1

Select all the equations that correctly state a relationship between the radius (rr), diameter (dd), and circumference (CC) of a circle.

A
C=πrC = \pi r
B
d=πrd = \pi r
C
C=2dC = 2 d
D
C=πdC = \pi d
E
r=12dr = \frac12 d
F
C=2πrC = 2 \pi r

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Solution
D, E, F
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Sample Response
D, E, F

Problem 2

A wagon wheel has a radius of 21 inches. What is the circumference of the wheel? Explain or show your reasoning.
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Solution
About 132 inches. 212=4221 \boldcdot 2 = 42, and 423.1413242 \boldcdot 3.14 \approx 132.
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Sample Response
About 132 inches. 212=4221 \boldcdot 2 = 42, and 423.1413242 \boldcdot 3.14 \approx 132.