Geometry 10-6 Complete Lesson: Circles and Arcs
By Matt Richardson
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Last updated about 3 years ago
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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Question 1
1.
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."
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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Question 2
2.
Solve It! Explain your reasoning on the previous item.
Solve It! Explain your reasoning on the previous item.
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Question 3
3.
Problem 1 Got It?
Problem 1 Got It?
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Question 4
4.
Problem 1 Got It?
Problem 1 Got It?
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Question 5
5.
Problem 1 Got It?
Problem 1 Got It?
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Question 6
6.
Problem 2 Got It?
Problem 2 Got It?
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Question 7
7.
Problem 2 Got It?
Problem 2 Got It?
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Question 8
8.
Problem 2 Got It?
Problem 2 Got It?
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Question 9
9.
Problem 2 Got It?
Problem 2 Got It?
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Question 10
10.
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?
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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Question 11
11.
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?
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?
…
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Question 12
12.
Problem 4 Got It?
Problem 4 Got It?
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Question 13
13.
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Question 14
14.
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Question 15
15.
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Question 16
16.
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Question 17
17.
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Question 18
18.
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Question 20
20.
Error Analysis: Your class must find the length of arc AB. A classmate submits the solution shown. What is her error?
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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Question 21
21.
Review Lesson 10-5: Part of a regular dodecagon is shown. Match the numbered angles with their measures below.
Review Lesson 10-5: Part of a regular dodecagon is shown. Match the numbered angles with their measures below.
- ∠1
- ∠2
- ∠3
- ∠4
- 15°
- 30°
- 75°
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Question 22
22.
Review Lesson 10-5: The radius is 19.3 mm. What is the apothem? Respond in this format: "7.31 mm"
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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Question 23
23.
Review Lesson 10-5: What is the perimeter of the dodecagon to the nearest millimeter? Enter your response in this format: "21 mm"
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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Question 24
24.
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"
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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Question 25
25.
Review Lesson 6-3: Which figures can you conclude are parallelograms? Select all that apply.
Review Lesson 6-3: Which figures can you conclude are parallelograms? Select all that apply.
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Question 26
26.
Review Lesson 10-6: What is the circumference of a circle with diameter 17 in.?
Review Lesson 10-6: What is the circumference of a circle with diameter 17 in.?
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Question 27
27.
Review Lesson 10-6: What is the length of a 90° arc in a circle with radius 6 cm?
Review Lesson 10-6: What is the length of a 90° arc in a circle with radius 6 cm?
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Question 28
28.
Vocabulary Review: Respond to each question with Yes or No.
Vocabulary Review: Respond to each question with Yes or No.
- Yes
- 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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Question 29
29.
Use Your Vocabulary: Complete each sentence with the correct word from the list.
Use Your Vocabulary: Complete each sentence with the correct word from the list.
- A minor arc is __?__ than a semicircle.
- A major arc is __?__ than a semicircle.
- You use __?__ points to name a major arc.
- You use __?__ points to name a minor arc.
- larger
- smaller
- two
- three
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Question 30
30.
Use Your Vocabulary: Classify the figures from the diagram.
Use Your Vocabulary: Classify the figures from the diagram.
- arc KL
- arc LJK
- minor arc
- major arc
- semicircle
- radius
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Question 31
31.
Reflection: Math Success
Reflection: Math Success