D 11. What is the measure of arc AC? A. 54 deg B. 137 deg C. 180 deg D. 111 deg E. 174 deg F. 23 deg 12. If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle? A. 8 B. 2 C. 10 D. 4 E. 7 F. 16 13. Working with the information from 12 from here to # 16, what is the measure of arc AB? A. 90 deg B. 25 deg C. 30 deg D. 120 deg E. 60 deg F. 72 deg 14. What is the measure of arc BC? A. 20 deg B. 45 deg C. 75 deg D. 120 deg E. 15 deg F. 90 deg 15. Are arcs ABC and AC equal? A. maybe B. none of these C. kinda D. 55 E. yes F. no 16. What is the measure of chord BC? A. 6.928 B. 2.098 C. 5.281 D. 10.112 E. 9.475 F. 7.461 17. If the measure of arc AB is 75 degrees, what is the measure of arc BC? A. 27 deg B. 54 deg C. 100 deg D. 180 deg E. 160 deg F. 105 deg 18. If the measure of arc AB is 80 degrees, what is the measure of angle CAB? Hint: Remember that all the angles in a triangle add up to 180 degrees. A. 13 deg B. 23 deg C. 42 deg D. 50 deg E. 37 deg F. 119 deg 19. If I created an imaginary point on arc AC named D, and drew line segments from points A and C to D, what would the measure of angle ADC be? A. 60 deg B. 7.5 deg C. 30 deg D. 15 deg E. 90 deg F. 120 deg 20. If line segment BC has a length of 24, and line segment AB has a length of 18, what is the radius of the circle? A. 18 B. 38 C. 6 D. 15 E. 4 F. 29
D 11. What is the measure of arc AC? A. 54 deg B. 137 deg C. 180 deg D. 111 deg E. 174 deg F. 23 deg 12. If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle? A. 8 B. 2 C. 10 D. 4 E. 7 F. 16 13. Working with the information from 12 from here to # 16, what is the measure of arc AB? A. 90 deg B. 25 deg C. 30 deg D. 120 deg E. 60 deg F. 72 deg 14. What is the measure of arc BC? A. 20 deg B. 45 deg C. 75 deg D. 120 deg E. 15 deg F. 90 deg 15. Are arcs ABC and AC equal? A. maybe B. none of these C. kinda D. 55 E. yes F. no 16. What is the measure of chord BC? A. 6.928 B. 2.098 C. 5.281 D. 10.112 E. 9.475 F. 7.461 17. If the measure of arc AB is 75 degrees, what is the measure of arc BC? A. 27 deg B. 54 deg C. 100 deg D. 180 deg E. 160 deg F. 105 deg 18. If the measure of arc AB is 80 degrees, what is the measure of angle CAB? Hint: Remember that all the angles in a triangle add up to 180 degrees. A. 13 deg B. 23 deg C. 42 deg D. 50 deg E. 37 deg F. 119 deg 19. If I created an imaginary point on arc AC named D, and drew line segments from points A and C to D, what would the measure of angle ADC be? A. 60 deg B. 7.5 deg C. 30 deg D. 15 deg E. 90 deg F. 120 deg 20. If line segment BC has a length of 24, and line segment AB has a length of 18, what is the radius of the circle? A. 18 B. 38 C. 6 D. 15 E. 4 F. 29
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:### Geometry: Understanding Arcs and Circles
#### Questions and Detailed Explanations
1. **What is the measure of arc AC?**
- A. 54 deg
- B. 137 deg
- C. 180 deg
- D. 111 deg
- E. 174 deg
- F. 23 deg
2. **If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle?**
- A. 8
- B. 2
- C. 10
- D. 4
- E. 7
- F. 16
3. **Working with the information from question 2, what is the measure of arc AB?**
- A. 90 deg
- B. 25 deg
- C. 30 deg
- D. 120 deg
- E. 60 deg
- F. 72 deg
4. **What is the measure of arc BC?**
- A. 20 deg
- B. 45 deg
- C. 75 deg
- D. 120 deg
- E. 15 deg
- F. 90 deg
5. **Are arcs ABC and AC equal?**
- A. maybe
- B. none of these
- C. kinda
- D. 55
- E. yes
- F. no
6. **What is the measure of chord BC?**
- A. 6.928
- B. 2.098
- C. 5.281
- D. 10.112
- E. 9.475
- F. 7.461
7. **If the measure of arc AB is 75 degrees, what is the measure of arc BC?**
- A. 27 deg
- B. 54 deg
- C. 100 deg
- D. 180 deg
- E. 160 deg
- F. 105 deg
8. **If the measure of arc
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