# 6th-8th Grade Geometry: Circular Arcs & Measurement Chapter Exam

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### Page 1

#### Question 1 1. A radius drawn to a tangent line forms what type of angle?

#### Question 2 2. A polygon must include all the following EXCEPT:

#### Question 3 3. If AB and CB are tangent segments, what is the length of CB?

#### Question 4 4. Which of the following shows a circle circumscribed by a triangle?

#### Question 5 5. 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?

### Page 2

#### Question 6 6. If the area of the square is 64, what is the area of the circle, rounded to the nearest whole number?

#### Question 7 7. If angle ACB is 34 degrees, what is the measure of angle ADB?

#### Question 8 8. The line from the center of a circle to the edge is called a(n):

#### Question 9 9. Which of the following is the measure of a major arc?

#### Question 10 10. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

### Page 3

#### Question 11 11. In the picture below, if arc CE is 172 degrees and arc BD is 80 degrees, what is the measure of angle CAE?

#### Question 12 12. If angle AOB is 40 degrees, what is the measure of angle ACB?

#### Question 13 13. Which of the following shows circles that are tangent to each other?

#### Question 14 14. What is the measure of the major arc when the minor arc is 120 degrees?

#### Question 15 15. In the picture below, if AC is 14 and AB is 10, what is the length of AD?

### Page 4

#### Question 16 16. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

#### Question 17 17. If arc BC is 84 degrees, what is the measure of angle ACB?

#### Question 18 18. In the picture below, if arc AB is 82 degrees, what is the measure of angle BAC?

#### Question 19 19. If the measure of central angle AOB is 62 degrees, what is the measure of inscribed angle ACB?

#### Question 20 20. 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?

### Page 5

#### Question 21 21. What is the area of a sector if the radius is 5 and the arc length is 2?

#### Question 22 22. An arc that comprises half of a circle is called a:

#### Question 23 23. If angle ACB is 47 degrees, what is the measure of angle AOB?

#### Question 24 24. In the picture below, if AE is 10, AB is 14 and ED is 16, what is the length of CE?

#### Question 25 25. The smaller shape connecting two points on a circle is called a:

### Page 6

#### Question 26 26. The sum of an exterior angle and its adjacent interior angle:

#### Question 27 27. Which of the following is always a regular polygon?

#### Question 28 28. If angle OAB is 45 degrees, what is the measure of angle AOB?

#### Question 29 29. A tangent to a circle is a line that:

#### Question 30 30. What is the measure of the minor arc when the major arc is 190 degrees?

#### 6th-8th Grade Geometry: Circular Arcs & Measurement 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!