Lesson 5

Circumference and Wheels

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Problem 1

The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel?

Solution

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Problem 2

The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards?

Solution

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Problem 3

The numbers are measurements of radius, diameter, and circumference of circles A and B. Circle A is smaller than circle B. Which number belongs to which quantity?

2.5, 5, 7.6, 15.2, 15.7, 47.7

Solution

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(From Unit 3, Lesson 4.)

Problem 4

Circle A has circumference \(2\frac23\) m. Circle B has a diameter that is \(1\frac12\) times as long as Circle A’s diameter. What is the circumference of Circle B?

Solution

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(From Unit 3, Lesson 3.)

Problem 5

The length of segment \(AE\) is 5 centimeters.

Circle with point A at center. Points C, E, G, B, D, F lie on the circle. Length of segment AE, 5 cm.
  1. What is the length of segment \(CD\)?
  2. What is the length of segment \(AB\)?
  3. Name a segment that has the same length as segment \(AB\).

Solution

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(From Unit 3, Lesson 2.)