Assignment Assigned Date Due Date Grade 6.7 Worksheet

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1 Geometry Unit 6: Packet 2 CIRCLES This is a packet containing the homework and some classwork for the second half of unit 6. You will turn in completed assignments by their designated due date. If you lose this packet, it will be your responsibility to print a new packet. Replacement packets and assignments will be posted on my website. I may also give you additional assignments, not in this packet. In general, you may use a calculator when necessary. For full credit, you will need to show all work (when applicable). Name Date Assigned: Tentative Due Date for Packet: Assignment Assigned Date Due Date Grade 6.7 Worksheet 6.8 Worksheet 6.9 Worksheet 6.10 Worksheet 6.11 Worksheet

2 Grading rubric for assessments: Knowledge and Understanding Achievement Student Friendly Descriptor level 7-8 8: Exceed Expectations (A) I answered all questions completely and correctly including the unfamiliar question I included units (if necessary). If a test/quiz, I did not use my notes and showed all my thinking. I rounded to three significant figures when necessary. I successfully answered all questions on my first attempt. I showed all necessary work 7: Exceeds Expectations (A) I answered all questions with most being correct, but I may have missed a question. I included units (if necessary). If a test/quiz, I did not use my notes and showed my thinking. I rounded to three significant figures when necessary. I showed all necessary work 5-6 6: Meets expectations (B) Most of my answers are correct with a couple errors. If a test/quiz, I may have used my notes. I showed my thinking on most problems. I may have missed units on questions. I may have rounded incorrectly. My assignment may have been completed after the due date. 5: Making Progress (C) I answered about half the questions correctly. If a test/quiz, I may have used my notes. I may have missed units on questions. I may have rounded incorrectly : Showed some knowledge (D) I attempted all questions with limited success. 3: Made an attempt I attempted all questions with limited success. 1-2 I attempted questions with very limited success. 0 I did not try this assessment.

3 Unit 6: Circumference and Arc Length Name 6.7 Worksheet Due Date Directions: Use your formula for circumference to answer each question. INCLUDE UNITS. In Exercises 1 4, leave your answers in terms of π (when applicable). Give the exact answers. 1. If r = 8.5 cm, find C. 2. If C = 36π cm, find r. 3. If C = 13.4π cm, find d. 4. If d = 6 cm, find C. In exercises 5-11, round your answers to three significant figures. Use the approximate symbol to show that your answer is an approximation. 5. If d = 9 cm, find C. 6. If r = 4.2 cm, find C. 7. If C = 121 cm, find d and r. 8. The earth has a diameter of miles. What is the circumference of the earth?

4 9. The wheel on Matt s bicycle has a diameter of 27 inches. How far will the bicycle travel in 100 revolutions of the wheel? Give your answer to the nearest whole foot. (A revolution is a full turn of the wheel) 10. Carbone s Pizza is known throughout the city. The small pizza has a 6-inch radius and sells for $9.75. The medium pizza sells for $12.00 and has an 8-inch radius. The large pizza is a hefty 20 inches in diameter and sells for $ a. What is the circumference of each pizza? b. What size has the most pizza edge per dollar? 11. The tires on a compact car are 20 inches in diameter. The recommended life of a tire is 30,000 miles. How many revolutions does it take for this tire to travel 30,000 miles? (Recall that 1 mile = 5280 ft)

5 Unit 6: Arc Length Name 6.8 Worksheet Due Date Find the missing measures using your new conjecture. Make sure to show your work. For questions 1-4, you are finding the exact answers. INCLUDE UNITS. 1. Find the length of ABC in terms of π. length of ABC = 2. Find the length of EF in terms of π. length of EF = B A 14 cm C Find the length of AB in terms of π B cm A length of AB =

6 The circumference of the circle is 24π. The measure of arc CD is 60. What is the length of arc CD? 8.

7 Unit 6: Area of a Circle Name 6.9 Worksheet Date In Exercises 1 4, round your answers to three significant figures. INCLUDE UNITS. 1. If r = 9 cm, A. 2. If r = 7.8 cm, A. 3. If d = 3.12, A. 4. If A = , C. Exercises 5-9, leave your answers in terms of π (when necessary). INCLUDE UNITS. 5. If r = 3 cm, A =. 6. If d = 6.4 cm, A =. 7. If A = 529π cm 2, r =. 8. If C = 36π cm, A =. 9. A TV station can broadcast its programming to households within a radius of 40 miles. How many square miles of viewing area does the station reach? Express your answer to the nearest square mile.

8 10. A composite figure is a figure made up of multiple polygons and/or a nonpolygon. Below are composite figures. Find the area of each one. Round to three significant figures. a. b. 11. On a blueprint, a rectangular room is 14 feet by 12 feet has a semicircular sitting area attached with a diameter of 12 feet. What is the total area of the room and the sitting area? Round to three significant figures. 12. Find the area of the rectangle and two semicircles. Leave in terms of pi.

9 Unit 6: Circle Parts Name 6.10 Worksheet Due Date For questions 1-3, find the area of each circle. Leave in terms of pi (when necessary). INCLUDE UNITS. 1. If r = 8 cm, find the area of the circle. A = 2. If d = 12 cm, find the area of the circle. A = 3. If C = 36π, find the area of the circle. A = 4. If the area of a circle is 6.25π cm 2, what is its radius? r = Find the missing measure of each circle part. 5. Shaded Area = Leave your answers in terms of pi Shaded Area = Leave your answers in terms of pi cm 6.7 cm

10 7. Shaded Area = Leave your answers in terms of pi. 48. Find the area of the composite figure. A = Leave your answers in terms of pi cm A sector has an area of 8π cm 2. Its arc measure is 60. Find the radius. r = 10. The shaded area of sector is 60π cm 2 and the radius is 12 cm. Find x. x =

11 Unit 6: Complex Figures Name 6.11 Worksheet Due Date Directions: Round your answers to three significant figures. 1. Find the perimeter and area of the figure. P = A = 2. Find the area AND perimeter of the figure composed of a semicircle and rectangle. P = A = 3. Find the area AND perimeter of the figure composed of a semicircle and right trapezoid. P = A =

12 4. Find the area AND perimeter of the figure composed of two semicircle and a rectangle. P = A = 5. Find the area AND perimeter of the figure composed of a semicircle, rectangle and an isosceles triangle. P = A = 6. Find the area AND perimeter of the figure composed of a semicircle with two more semicircles removed. P = A = 2.60 cm 5.20 cm

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