1. 5 minute check 2 Click the mouse button or press the Space Bar to display the answers.

2. 5 minute check 2a

3. 6-5 Circumference and Area of a Circle

4. Video Tutor Help Finding circumferenceFinding circumference (6-5) Finding the area of circlesFinding the area of circles (6-5) Circumference and Area of a Circle Area of a Circle Circumference of a Circle Khan Academy Circumference of a circle

5. Video Tutor Help Finding the measure of an angle Finding the area of parallelograms Finding the area of triangles Finding the area of trapezoids Finding circumference Finding the area of circles

6. Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 6-5 Practice 6-5 Guided Problem Solving 6-5

7. Vocabulary Practice Vocabulary (Electronic) Flash Cards Percents Vocabulary 6A: Graphic Organizer Vocabulary 6B: Reading Comprehension Vocabulary 6C: Reading/Writing Math Symbols Vocabulary 6D: Visual Vocabulary Practice Vocabulary 6E: Vocabulary C Vocabulary 6F: Vocabulary Review Puzzle

8. Additional Lesson Examples Step-by-Step Examples Lesson 6-5

9. Lesson Readiness Lesson Quiz Problem of the Day Lesson 6-5

16. Answer: The circumference is about 37.7 meters. Example 7-1a Find the circumference of the circle to the nearest tenth. Circumference of a circle Replace d with 12. Simplify. This is the exact circumference. To estimate the circumference, use a calculator. ENTER 2nd [  ] 37.69911184 12 Find the Circumference of a Circle

17. Example 7-1a Find the circumference of the circle to the nearest tenth. Circumference of a circle Replace r with 7.1. Simplify. Use a calculator. Answer: The circumference is about 44.6 meters. Find the Circumference of a Circle

18. Example 2-1a Find the circumference of the circle. Round to the nearest tenth. Circumference of a circle Replace d with 5. This is the exact circumference. Answer: The circumference is about 15.7 feet. Use a calculator to find. 5 15.70796327  x ENTER Find the Circumferences of Circles

19. Example 2-1b Find the circumference of the circle. Round to the nearest tenth. Answer: 22.0 in.

20. Example 2-2a Find the circumference of the circle. Round to the nearest tenth. Circumference of a circle Replace r with 3.8. Use a calculator. Answer: The circumference is about 23.9 meters. Find the Circumferences of Circles

21. Example 2-2b Find the circumference of the circle. Round to the nearest tenth. Answer: 22.6 m

22. Find the area of the trapezoid. The area is 48 cm 2. A = h(b 1 + b 2 ) Use the area formula for a trapezoid. 1212 LESSON 6-5 = (6)(6 + 10) Substitute for h, b 1, and b 2. 1212 = (6)(16) Add. 1212 = 48 Multiply. Areas of Other Figures Additional Examples

27. Find the area of the piece of metal by using the trapezoid shown. LESSON 6-5 Areas of Other Figures A = 126 The area is 126 cm 2. A = h(b 1 + b 2 ) Use the area formula. 1212 A = (9)(10 +18) Substitute h, b 1, b 2. 1212 A = (9)(28) Add. 1212 A = (252) Multiply. 1212 Additional Examples

28. Example 7-3a Find the area of the circle. Round to the nearest tenth. Area of a circle Replace r with 11. Evaluate. Use a calculator. Answer: The area is about 380.1 square feet. Find Areas of Circles

29. Example 7-3a Find the area of the circle. Round to the nearest tenth. Replace r with 4.15. Use a calculator. Answer: The area is about 54.1 square centimeters. Area of a circle Evaluate. Find Areas of Circles

30. Example 2-3a Find the area of the circle. Round to the nearest tenth. Area of a circle Replace r with 3. Evaluate Use a calculator. Answer: The area is about 28.3 square yards. Find the Areas of Circles

31. Example 2-3b Find the area of the circle. Round to the nearest tenth. Answer:

32. Example 2-4a Find the area of the circle. Round to the nearest tenth. Answer: The area is about 78.5 square inches. Area of a circle Replace r with half of 10 or 5. Use a calculator. Evaluate Find the Areas of Circles

33. Example 2-4b Find the area of the circle. Round to the nearest tenth. Answer:

36. Example 2-5a POOLS The Patels have a circular pool with a radius of 12 feet. They plan on installing a 4-foot-wide walkway around the pool. What will be the area of the walkway? To determine the area of the walkway, you must subtract the area of the pool from the area of the outer circle that includes the pool and the walkway. Use Circumference and Area

37. Example 2-5b Area of Outer Circle Area of a circle Use a calculator. Replace r with 12 4 or 16. Evaluate

38. Example 2-5c Area of Pool Area of a circle Use a calculator. Replace r with 12. Evaluate

39. Example 2-5d Area of Walkway Area of Outer Circle – Area of Pool Answer: The area of the walkway is about 351.9 square feet.