Math Circles MCQ Test: Math Circles MCQs - Practice Questions
1. If the radius of a circle is 10 units, what is the length of an arc subtended by a central angle of 45 degrees?
2. If the radius of a circle is 5 units, what is the diameter?
3. In a circle, if the inscribed angle is 135 degrees, what is the measure of the central angle subtended by the same arc?
4. In a circle, if the inscribed angle is 150 degrees, what is the measure of the central angle subtended by the same arc?
5. What is the measure of an inscribed angle in a circle if it subtends an arc of 60 degrees?
6. What is the relationship between the radius and diameter of a circle?
7. What is the relationship between the central angle and the inscribed angle subtended by the same arc in a circle?
8. If the radius of a circle is 45 units, what is the length of an arc subtended by a central angle of 180 degrees?
9. What is the name of the angle formed by the intersection of a tangent and a chord in a circle?
10. What is the measure of an angle subtended by an arc of a circle if the angle is at the center of the circle?
11. In a circle, if the inscribed angle is 90 degrees, what is the relationship between the inscribed angle and the diameter?
12. What is the formula for the area of a circle in terms of the diameter?
13. If the radius of a circle is 18 units, what is the length of an arc subtended by a central angle of 105 degrees?
14. What is the name of the angle formed by the intersection of two tangents in a circle?
15. What is the relationship between the diameter and the radius of a circle?
16. What is the formula for the circumference of a circle in terms of the diameter?
17. If the radius of a circle is 6 units, what is the diameter?
18. If the diameter of a circle is 10 units, what is the radius?
19. What is the measure of the central angle in a circle if the arc it subtends is 60 degrees?
20. If the circumference of a circle is 20π units, what is the radius?
21. If the diameter of a circle is 8 units, what is the radius?
22. If the diameter of a circle is 24 units, what is the length of an arc subtended by a central angle of 90 degrees?
23. If the area of a circle is 25π sq units, what is the radius?
24. If the central angle of a circle is 60 degrees, what is the measure of the corresponding arc?
25. In a circle, if the central angle is 120 degrees, what is the measure of the inscribed angle subtended by the same arc?
26. If the radius of a circle is 15 units, what is the length of an arc subtended by a central angle of 75 degrees?
27. What is the measure of the central angle subtended by a quarter of a circle?
28. If the radius of a circle is 8 units, what is the length of an arc subtended by a central angle of 135 degrees?
29. If the area of a circle is 36π sq units, what is the radius?
30. If a chord of a circle is 12 units long and is at a distance of 5 units from the center, what is the radius of the circle?
31. In a circle, if the inscribed angle is 60 degrees, what is the measure of the central angle subtended by the same arc?
32. If the central angle of a circle is 150 degrees, what is the measure of the inscribed angle subtended by the same arc?
33. If the radius of a circle is 20 units, what is the length of an arc subtended by a central angle of 180 degrees?
34. If the diameter of a circle is 20 units, what is the length of an arc subtended by a central angle of 135 degrees?
35. What is the name of the angle formed by the intersection of two chords in a circle?
36. If the circumference of a circle is 30 units, what is the radius?
37. What is the formula for the circumference of a circle?
38. If the diameter of a circle is 16 units, what is the length of an arc subtended by a central angle of 150 degrees?
39. If the diameter of a circle is 12 units, what is the circumference?
40. What is the name of the longest chord in a circle?
41. If the radius of a circle is 35 units, what is the length of an arc subtended by a central angle of 150 degrees?
42. If the radius of a circle is 4 units, what is the area?
43. In a circle, if the inscribed angle is 120 degrees, what is the relationship between the inscribed angle and the central angle subtended by the same arc?
44. What is the name of the segment in a circle formed by an inscribed angle?
45. If the radius of a circle is 12 units, what is the length of an arc subtended by a central angle of 120 degrees?
46. What is the measure of an inscribed angle in a circle if it subtends a semicircle?
47. If the radius of a circle is 30 units, what is the length of an arc subtended by a central angle of 75 degrees?
48. If the radius of a circle is 15 units, what is the length of an arc subtended by a central angle of 90 degrees?
49. What is the measure of an inscribed angle in a circle if it subtends an arc of 120 degrees?
50. What is the area of a circle with radius 9 units?