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08 - 05 Solutions

The document is a practice tutorial focused on problems involving the circumference of circles, including calculations for diameter and circumference using different values for pi. It presents various exercises with solutions, explanations of common mistakes, and reasoning about the relationships between radius and circumference. Additionally, it includes assessment practice questions to reinforce understanding of the concepts.

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deepaksharma1976
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70 views2 pages

08 - 05 Solutions

The document is a practice tutorial focused on problems involving the circumference of circles, including calculations for diameter and circumference using different values for pi. It presents various exercises with solutions, explanations of common mistakes, and reasoning about the relationships between radius and circumference. Additionally, it includes assessment practice questions to reinforce understanding of the concepts.

Uploaded by

deepaksharma1976
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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PRACTICE TUTORIAL

Name:

8-5 Additional Practice Scan for


Multimedia
1. a. The circumference of a circle measures 11.27p ft.
What is the measure of the diameter of this circle?
11.27 ft

2. Circle A has a radius of 21 meters. Circle B has a radius of


28 meters.
a. Find the circumference of each circle in terms of p.
Circle A: 42P m; Circle B: 56P m

b. Reasoning Is the relationship between the radius and


circumference the same for all circles? Explain.
Yes; Sample answer: The circumference,
or distance around a circle, is always
equal to P times twice the radius.

3. The diameter of a circle is 18 m. Eugene 4. How much fencing is required to enclose a


claims that the circumference of the circle is circular garden whose radius is 14 m? Use
22
about 113.04 m. 7 for p.
a. What is the circumference of the circle? 88 m
Use 3.14 for p.
56.52 m

b. What mistake did Eugene likely make?


He doubled 18 thinking it was
the radius, instead of using 18
for the diameter.

5. What is the diameter of a circle with a 6. How many flowers, spaced every 4 inches,
circumference of 132 ft? Use 22
7 for p. are needed to surround a circular garden
42 ft with a 200 inch radius? Use 3.14 for p.
314 flowers

8-5 Solve Problems Involving Circumference of a Circle 105


7. Wheel A has a diameter of 25.4 inches. Wheel B has a diameter of 22.5 inches.
About how much farther will Wheel A travel in one rotation than Wheel B?
Use 3.14 for p. Round your answer to the nearest whole number.
9 in.

8. Find the circumference of the circle at the right


in terms of p.
13 mi
26P mi

Assessment Practice
9. Circle Y has a radius of 22 meters and Circle Z has a radius of 27 meters.
Which of the following statements are true? Select all that apply.

The circumference of Circle Y = 44 p m


The circumference of Circle Z = 27 p m
The circumference of Circle Y is approximately
32 m less than the circumference of Circle Z.
The circumference of Circle Z is approximately 170 m.
The circumference of Circle Z is approximately
32 m less than the circumference of Circle Y.

10. The circumference of one coin is 8.03 cm. The circumference of


another coin is 0.33 cm smaller.

a. What is the first step to find the diameter of the smaller coin?

𝖠 Find the radius of the smaller coin.

𝖡 Find the diameter of the larger coin.

𝖢 Find the circumference of the larger coin.

𝖣 Find the circumference of the smaller coin.

b. Find the diameter of the smaller coin.


Use 22
7 for p.

2.45 cm

106 8-5 Solve Problems Involving Circumference of a Circle

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