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Geometry 10-6 Circles and Arcs
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by Matthew Richardson
| 31 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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10 pts
Solve It! The bicycle wheel shown travels 63 in. in one complete rotation. It the wheel rotates only 120° about the center, how far does it travel? Enter your response in this format: "37 in."
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10 pts
Solve It! Explain your reasoning on the previous item.
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Problem 1 Got It?
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Problem 1 Got It?
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Problem 1 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 3 Got It? A car has a circular turning radius of 16.1 ft. The distance between the two front tires is 4.7 ft. How much farther does a tire on the outside of the turn traven than a tire on the inside?
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Problem 3 Got It? Reasoning: Suppose the radius of ⊙A is equal to the diameter of ⊙B. What is the ratio of the circumference of ⊙A to the circumference of ⊙B?
2 : 1
π : 1
2π : 1
π : 2
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Problem 4 Got It?
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14
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20
10 pts
Error Analysis: Your class must find the length of arc AB. A classmate submits the solution shown. What is her error?
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21
10 pts
Review Lesson 10-5: Part of a regular dodecagon is shown. Match the numbered angles with their measures below.
• 15°
• 30°
• 75°
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Review Lesson 10-5: The radius is 19.3 mm. What is the apothem? Respond in this format: "7.31 mm"
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Review Lesson 10-5: What is the perimeter of the dodecagon to the nearest millimeter? Enter your response in this format: "21 mm"
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Review Lesson 10-5: What is the area of the dodecagon to the nearest square millimeter? Enter your response in this format: "53 square millimeters"
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Review Lesson 6-3: Which figures can you conclude are parallelograms? Select all that apply.

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Review Lesson 10-6: What is the circumference of a circle with diameter 17 in.?
8.5π
17π
8.5²π
17²π
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Review Lesson 10-6: What is the length of a 90° arc in a circle with radius 6 cm?
≈ 3.14 cm
6 cm
≈ 6.28 cm
≈ 9.42 cm
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Vocabulary Review: Respond to each question with Yes or No.
• Is a circle a two-dimensional figure?
• Is a circle a polygon?
• Is every point on a circle the same distance from the center?
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Use Your Vocabulary: Complete each sentence with the correct word from the list.
• larger
• smaller
• two
• three
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30
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Use Your Vocabulary: Classify the figures from the diagram.
• minor arc