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# MTEL Mathematics (Elementary): Circles & Circular Arcs Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. If angle ACB is 47 degrees, what is the measure of angle AOB?

#### Question 2 2. If angle ACB is 34 degrees, what is the measure of angle ADB?

#### Question 3 3. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

#### Question 4 4. What is the measure of the minor arc when the major arc is 300 degrees?

#### Question 5 5. In the picture below, if arc AC is 146 degrees and arc BD is 32 degrees, what is the measure of angle AEC?

### Page 2

#### Question 6 6. Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?

#### Question 7 7. What is the line, as shown in the picture, called?

#### Question 8 8. What is the measure of the minor arc when the major arc is 190 degrees?

#### Question 9 9. William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?

#### Question 10 10. What is the measure of the major arc when the minor arc is 120 degrees?

### Page 3

#### Question 11 11. Given the diameter of a circle is 10 m, what is the area of the sector formed when two radii forms a 60 degree angle? (Hint: Diameter is twice the radius or r = D/2). Give your answer to the nearest degree.

#### Question 12 12. An arc that comprises half of a circle is called a:

#### Question 13 13. Which of the following is the measure of a minor arc?

#### Question 14 14. The locus of points that are the same distance from a center point form:

#### Question 15 15. The red segment pictured on the circle represents:

### Page 4

#### Question 16 16. Which line is a tangent to the pictured circle?

#### Question 17 17. Judy is baking a round cake for her niece's birthday and the recipe requires her to coat the bottom of the pan with flour. If the cake pan has an 8-inch diameter, what is the area that she will need to cover with flour on the bottom of the pan?

#### Question 18 18. Which of the following shows circles that are tangent to each other?

#### Question 19 19. What is the area of the following segment? Give your answer to two decimal places.

#### Question 20 20. Circle D has a radius of 17 cm. What is the circumference of circle D?

### Page 5

#### Question 21 21. What is the type of line that touches but doesn't cross a circle called?

#### Question 22 22. A segment of a circle is bounded by which of the following?

#### Question 23 23. In the picture below, if major arc BC is 258 degrees and minor arc BC is 102 degrees, what is the measure of angle BAC?

#### Question 24 24. In the picture below, if arc AB is 82 degrees, what is the measure of angle BAC?

#### Question 25 25. If angle OAB is 45 degrees, what is the measure of angle AOB?

### Page 6

#### Question 26 26. If angle AOB is 40 degrees, what is the measure of angle ACB?

#### Question 27 27. In the pictured circle, the measure of angle ACB is 22 degrees and the measure of angle BXD is 120 degrees. What is the measure of angle CAD?

#### Question 28 28. If AB and CB are tangent segments, what is the length of CB?

#### Question 29 29. The distance around the edge of a circle is called a:

#### Question 30 30. How is the value of pi calculated?

#### MTEL Mathematics (Elementary): Circles & Circular Arcs Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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