AnswersRS AZ-Common Core Geometry BCircumference and Arc LengthQuestion 1
1
AssignmentMultiple Choice

Circumference and Arc Length

Question 1 • RS AZ-Common Core Geometry B

Marc commutes to work on his bicycle, which has tires that measure 26 inches in diameter. A device on his bike informs him that one tire completed 388 full rotations between the time he left his house and the time he arrived at work. Rounded to the nearest inch, how far did Marc bike between his house and work?

Answer
A
10,088 in.
B
15,846 in.
C
31,692 in.
D
63,385 in.

Explanation

Each full tire rotation covers one circumference: π × 26 ≈ 81.68 inches. Over 388 rotations, Marc travels about 81.68 × 388 ≈ 31,692 inches. Rounded to the nearest inch, this is 31,692 inches, choice C.

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