Lesson 5
Circumference and Wheels
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.](https://cms-im.s3.amazonaws.com/UJSCN2Fc4hFDdRCF8FYs8LCa?response-content-disposition=inline%3B%20filename%3D%227.3.PP.New.Image.08.png%22%3B%20filename%2A%3DUTF-8%27%277.3.PP.New.Image.08.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T182345Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=7434208466e99d2c48a702c8b5663833a5904a2e53fa2872f47333d039391ae4)
- What is the length of segment \(CD\)?
- What is the length of segment \(AB\)?
- Name a segment that has the same length as segment \(AB\).
Solution
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(From Unit 3, Lesson 2.)