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Geometry 10-6 Complete Lesson: Circles and Arcs

Last updated about 4 years ago

31 questions

Note from the author:

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G.CO.1

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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."

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G.CO.1

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G.CO.1

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G.C.2

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G.C.1

G.C.5

G.CO.1

Question 11

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G.C.2

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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?

G.C.2

G.CO.1

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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"

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Question 25

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Question 26

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Question 27

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Question 28

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Question 29

29.

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G.CO.1

Question 31

31.

Reflection: Math Success

Question 2

2.

Solve It! Explain your reasoning on the previous item.

Question 3

3.

Question 4

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Question 5

5.

Question 6

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Question 7

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Question 8

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Question 9

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Question 10

10.

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

Question 12

12.

Question 13

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Question 14

14.

Question 15

15.

Question 16

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Question 17

17.

Question 18

18.

Question 21

21.

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"

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 6-3: Which figures can you conclude are parallelograms? Select all that apply.

Review Lesson 10-6: What is the circumference of a circle with diameter 17 in.?

8.5π

17π

8.5²π

17²π

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

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?

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

Question 30

30.

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

Problem 2 Got It?

A

B

C

D

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?

About 64.9 ft

About 101.1 ft

About 36.2 ft

About 29.5 ft

Problem 4 Got It?

A

B

C

D

A

B

C

D

A

B

C

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A

B

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D

A

B

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B

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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°

Use Your Vocabulary: Classify the figures from the diagram.

arc KL

arc LJK

minor arc

major arc

semicircle

radius