Class 10 Maths Chapter 12 MCQs – Angle in a Segment of a Circle (FBISE)

Description: Practice Class 10 Maths Chapter 12 MCQs on Angle in a Segment of a Circle. These questions cover important theorems and are designed according to FBISE exam pattern.

1. Angle in a segment is formed by:

A) Radius and tangent
B) Chord and arc
C) Diameter and radius
D) Tangent and secant

2. Angle in a semicircle is always:

A) 90^\circ
B) 60^\circ
C) 45^\circ
D) 30^\circ

3. The angle subtended by a chord at the center is:

A) Equal to angle at circumference
B) Half of angle at circumference
C) Twice the angle at circumference
D) Zero

4. If angle at center is 120^\circ, angle at circumference is:

A) 120^\circ
B) 90^\circ
C) 30^\circ
D) 60^\circ

5. Angles in the same segment are:

A) Equal
B) Unequal
C) Double
D) Zero

6. If two angles are in the same segment, they subtend the same:

A) Radius
B) Chord
C) Diameter
D) Arc only

7. If two angles stand on the same chord, they are:

A) Unequal
B) Complementary
C) Equal
D) Supplementary

8. Angle at the center is always:

A) Equal
B) Half
C) Zero
D) Double of angle at circumference

9. If angle at circumference is 40^\circ, central angle is:

A) 80^\circ
B) 40^\circ
C) 20^\circ
D) 60^\circ

10. Angles in opposite segments of a circle are:

A) Equal
B) Supplementary
C) Complementary
D) Zero

11. A triangle inscribed in a semicircle is:

A) Equilateral
B) Isosceles
C) Right angled
D) Scalene

12. If diameter is one side of triangle, opposite angle is:

A) 90^\circ
B) 60^\circ
C) 45^\circ
D) 120^\circ

13. If angle in segment is known, central angle is:

A) Half
B) Equal
C) Zero
D) Double

14. If central angle is known, angle in segment is:

A) Double
B) Half
C) Equal
D) Zero

15. The angle subtended by a diameter at circumference is:

A) 60^\circ
B) 45^\circ
C) 90^\circ
D) 30^\circ

16. If two angles stand on the same chord in the same segment, they are:

A) Equal
B) Unequal
C) Zero
D) Infinite

17. Angle in a segment depends on:

A) Radius
B) Diameter
C) Area
D) Arc or chord

18. If two angles stand on the same arc, they are:

A) Equal
B) Unequal
C) Double
D) Half

19. If angle at center is 100^\circ, angle at circumference is:

A) 100^\circ
B) 75^\circ
C) 50^\circ
D) 25^\circ

20. If angle at circumference is 35^\circ, central angle is:

A) 35^\circ
B) 70^\circ
C) 105^\circ
D) 140^\circ

21. Angles in opposite segments of a cyclic quadrilateral are:

A) Equal
B) Complementary
C) Zero
D) Supplementary

22. If one angle of a cyclic quadrilateral is 110^\circ, opposite angle is:

A) 70^\circ
B) 110^\circ
C) 90^\circ
D) 60^\circ

23. A quadrilateral is cyclic if opposite angles are:

A) Equal
B) Complementary
C) Supplementary
D) Zero

24. If two angles in the same segment are equal, they lie on the same:

A) Radius
B) Arc
C) Diameter
D) Tangent

25. If a triangle is inscribed in a circle with diameter as one side, it is:

A) Right angled
B) Acute
C) Obtuse
D) Equilateral

26. If angle subtended by chord at circumference is 30^\circ, central angle is:

A) 30^\circ
B) 45^\circ
C) 50^\circ
D) 60^\circ

27. If central angle is 200^\circ, corresponding angle at circumference is:

A) 200^\circ
B) 100^\circ
C) 50^\circ
D) 150^\circ

28. If angle in a segment is 45^\circ, central angle is:

A) 45^\circ
B) 60^\circ
C) 90^\circ
D) 120^\circ

29. If opposite angles of quadrilateral sum to 180^\circ, it is:

A) Cyclic
B) Square
C) Rectangle
D) Rhombus

30. If angle in semicircle is 90^\circ, triangle is:

A) Acute
B) Obtuse
C) Equilateral
D) Right angled

31. If two angles are equal in same segment, they subtend equal:

A) Radius
B) Chord
C) Diameter
D) Tangent

32. If central angle is doubled, angle in segment:

A) Doubles
B) Remains same
C) Also doubles proportionally (half relation maintained)
D) Becomes zero

33. If angle at circumference is zero, arc is:

A) Zero
B) Maximum
C) Half
D) Infinite

34. Angles in same segment lie on:

A) Radius
B) Diameter
C) Tangent
D) Same arc

35. If angle at circumference is 25^\circ, central angle is:

A) 50^\circ
B) 25^\circ
C) 75^\circ
D) 100^\circ

36. If central angle is 150^\circ, angle at circumference is:

A) 150^\circ
B) 100^\circ
C) 75^\circ
D) 50^\circ

37. If one angle of cyclic quadrilateral is 95^\circ, opposite angle is:

A) 95^\circ
B) 85^\circ
C) 75^\circ
D) 65^\circ

38. If two opposite angles are 120^\circ and 60^\circ, quadrilateral is:

A) Square
B) Rectangle
C) Parallelogram
D) Cyclic

39. If angle subtended by diameter is 90^\circ, triangle is:

A) Right angled
B) Acute
C) Obtuse
D) Equilateral

40. If arc increases, angle in segment:

A) Decreases
B) Remains same
C) Increases
D) Becomes zero

41. If central angle is 360^\circ, angle at circumference is:

A) 360^\circ
B) 180^\circ
C) 90^\circ
D) 60^\circ

42. If central angle is 0^\circ, angle at circumference is:

A) 90^\circ
B) 60^\circ
C) 30^\circ
D) 0^\circ

43. If two angles in same segment are equal, they lie on:

A) Same arc
B) Different arcs
C) Radius
D) Tangent

44. If central angle doubles, angle at circumference:

A) Remains same
B) Halves
C) Also doubles proportionally
D) Becomes zero

45. If opposite angles of quadrilateral are not supplementary, it is:

A) Cyclic
B) Not cyclic
C) Square
D) Rectangle

46. Angle in segment is always related to:

A) Radius
B) Diameter
C) Tangent
D) Arc or chord

47. If arc is half circle, angle at circumference is:

A) 90^\circ
B) 45^\circ
C) 60^\circ
D) 120^\circ

48. If central angle is 90^\circ, angle at circumference is:

A) 90^\circ
B) 60^\circ
C) 45^\circ
D) 30^\circ

49. If central angle is 60^\circ, angle at circumference is:

A) 60^\circ
B) 30^\circ
C) 45^\circ
D) 90^\circ

50. Angle in segment is used to study:

A) Circle geometry
B) Algebra
C) Statistics
D) Arithmetic

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top