Geometry 10-6 Complete Lesson: Circles and Arcs

Last updated almost 4 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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Geometry 10-6 Complete Lesson: Circles and Arcs

Geometry 10-6 Complete Lesson: Circles and Arcs

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! Explain your reasoning on the previous item.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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 4 Got It?

Error Analysis: Your class must find the length of arc AB. A classmate submits the solution shown. What is her error?

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: 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 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.?

Review Lesson 10-6: What is the length of a 90° arc in a circle with radius 6 cm?

Vocabulary Review: Respond to each question with Yes or No.

Use Your Vocabulary: Complete each sentence with the correct word from the list.

Use Your Vocabulary: Classify the figures from the diagram.

Reflection: Math Success

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! Explain your reasoning on the previous item.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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? 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 4 Got It?

Error Analysis: Your class must find the length of arc AB. A classmate submits the solution shown. What is her error?

Review Lesson 10-5: Part of a regular dodecagon is shown. Match the numbered angles with their measures below.

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: 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 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.?

Review Lesson 10-6: What is the length of a 90° arc in a circle with radius 6 cm?

Vocabulary Review: Respond to each question with Yes or No.

Use Your Vocabulary: Complete each sentence with the correct word from the list.

Use Your Vocabulary: Classify the figures from the diagram.

Reflection: Math Success

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?

Review Lesson 10-5: Part of a regular dodecagon is shown. Match the numbered angles with their measures below.