You can find online MCQs for Chapter 10 on Circles for Class 9 Maths along with their answers. These questions are based on the CBSE syllabus and NCERT guidelines. Each chapter has its multiple-choice questions explained in detail. Don’t forget to also look at the important questions for Class 9 Maths.
Also Check: Chapter 1 Number System MCQs
Class 9 Maths Chapter 10: Circles MCQs
- Which of the following is not a chord?
- A) Diameter
- B) Radius
- C) Secant
- D) Tangent
Answer: B) Radius
- The longest chord of a circle is:
- A) Diameter
- B) Radius
- C) Secant
- D) Tangent
Answer: A) Diameter
Also Check: Chapter 2 Polynomials MCQs
- Which of the following is a secant?
- A) A line touching the circle at one point
- B) A line passing through the circle
- C) A line outside the circle
- D) A line segment joining two points on the circle
Answer: B) A line passing through the circle
- The point where a tangent intersects the circle is called:
- A) Chord
- B) Secant
- C) Point of contact
- D) Radius
Answer: C) Point of contact
- If two circles intersect at two points, they are called:
- A) Tangent circles
- B) Congruent circles
- C) Concentric circles
- D) Intersecting circles
Answer: D) Intersecting circles
Also Check: Chapter 3 Coordinate Geometry MCQs
- The angle subtended by an arc at the center is:
- A) Acute
- B) Obtuse
- C) Right angle
- D) Reflex
Answer: B) Obtuse
- If the radius of a circle is 7 cm, its diameter is:
- A) 7 cm
- B) 14 cm
- C) 21 cm
- D) 28 cm
Answer: B) 14 cm
- The number of tangents that can be drawn to a circle from an external point is:
- A) 1
- B) 2
- C) 3
- D) 0
Answer: A) 1
- If a chord and a tangent intersect externally, then the angle between them is:
- A) 30°
- B) 45°
- C) 60°
- D) 90°
Answer: C) 60°
Also Check: Chapter 5 Introduction to Euclid’s Geometry MCQs
- The locus of a point which moves such that its distance from a fixed point is always constant is:
- A) Line
- B) Circle
- C) Parabola
- D) Ellipse
Answer: B) Circle
- If a circle is divided into two equal arcs by a chord, then the chord is:
- A) Diameter
- B) Radius
- C) Secant
- D) Tangent
Answer: A) Diameter
- The point of intersection of any two diameters of a circle is called:
- A) Center
- B) Chord
- C) Radius
- D) Diameter
Answer: A) Center
Also Check: Chapter 5 Introduction to Euclid’s Geometry MCQs
- If two circles touch each other externally, the distance between their centers is:
- A) Sum of their radii
- B) Difference of their radii
- C) Half the sum of their radii
- D) Double the difference of their radii
Answer: A) Sum of their radii
- If the angle subtended by an arc at the center is 90°, the arc is a:
- A) Major arc
- B) Minor arc
- C) Semi-circle
- D) Quadrant
Answer: C) Semi-circle
- The measure of an angle subtended by an arc at the center is twice the angle subtended by it at any point on the:
- A) Circle
- B) Chord
- C) Tangent
- D) Secant
Answer: A) Circle
Also Check: Chapter 7 Triangles MCQs
- If the radius of a circle is halved, its circumference:
- A) Doubles
- B) Halves
- C) Quadruples
- D) Remains the same
Answer: B) Halves
- The length of an arc of a circle of radius 14 cm, subtending an angle of 45° at the center, is:
- A) 7π cm
- B) 14π cm
- C) 21π cm
- D) 28π cm
Answer: B) 14π cm
- If two circles intersect in such a way that the circumference of one circle passes through the center of the other circle, they are:
- A) Concentric circles
- B) Touching circles
- C) Intersecting circles
- D) Congruent circles
Answer: A) Concentric circles
- The angle in a semi-circle is:
- A) 45°
- B) 90°
- C) 180°
- D) 360°
Answer: B) 90°
Also Check: Chapter 8 Quadrilaterals
- If the arc of a circle is equal to the radius of the circle, the angle subtended by the arc at the center is:
- A) 15°
- B) 30°
- C) 45°
- D) 60°
Answer: C) 45°
- The angle between two tangents drawn from an external point to a circle is:
- A) 45°
- B) 90°
- C) 120°
- D) 180°
Answer: B) 90°
- If the radius of a circle is 10 cm, the length of the arc subtending an angle of 60° at the center is:
- A) 10π/3 cm
- B) 20π/3 cm
- C) 30π/3 cm
- D) 40π/3 cm
Answer: A) 10π/3 cm
- The angle in a segment of a circle is:
- A) Acute
- B) Right angle
- C) Obtuse
- D) Reflex
Answer: C) Obtuse
- If the arc length of a circle is 22 cm and its radius is 7 cm, the angle subtended by the arc at the center is approximately:
- A) 150°
- B) 120°
- C) 100°
- D) 90°
Answer: C) 100°
Also Check: Chapter 9 Areas of Parallelogram and Triangles
- The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is:
- A) r^2
- B) r^2/2
- C) r^2/4
- D) 2r^2
Answer: B) r^2/2
- If two circles touch each other internally, the distance between their centers is:
- A) Sum of their radii
- B) Difference of their radii
- C) Half the sum of their radii
- D) Double the difference of their radii
Answer: B) Difference of their radii
- If the diameter of a circle is tripled, its circumference:
- A) Triples
- B) Doubles
- C) Increases by 6 times
- D) Increases by 9 times
Answer: B) Doubles
- The area of the sector of a circle with radius ‘r’ and angle ‘θ’ (in radians) is:
- A) 1/2 θr^2
- B) 1/2 rθ^2
- C) 1/2 r^2θ
- D) 1/2 r^2/θ
Answer: C) 1/2 r^2θ
- The angle subtended by a minor arc at the center of a circle is:
- A) Less than 90°
- B) 90°
- C) Between 90° and 180°
- D) Greater than 180°
Answer: A) Less than 90°
- If the angle subtended by an arc at the center of a circle is 120°, the angle subtended by it at any point on the remaining part of the circle is:
- A) 30°
- B) 40°
- C) 60°
- D) 80°
Answer: C) 60°
- The angle in a segment of a circle is:
- A) Less than 90°
- B) 90°
- C) Between 90° and 180°
- D) Greater than 180°
Answer: C) Between 90° and 180°
- If the radius of a circle is doubled, its circumference:
- A) Doubles
- B) Quadruples
- C) Halves
- D) Remains the same
Answer: A) Doubles
- The length of an arc of a circle of radius ‘r’, subtending an angle ‘θ’ (in radians) at the center, is:
- A) rθ
- B) θ/r
- C) r/θ
- D) θ*r^2
Answer: A) rθ
- If two circles touch each other internally, the distance between their centers is:
- A) Sum of their radii
- B) Difference of their radii
- C) Half the sum of their radii
- D) Double the difference of their radii
Answer: B) Difference of their radii
- The angle between two tangents drawn from an external point to a circle is:
- A) 45°
- B) 90°
- C) 120°
- D) 180°
Answer: B) 90°
- If the angle subtended by an arc at the center is 60°, the angle subtended by it at any point on the remaining part of the circle is:
- A) 30°
- B) 40°
- C) 60°
- D) 80°
Answer: D) 80°
- The length of an arc of a circle of radius 21 cm, subtending an angle of 60° at the center, is:
- A) 21π/3 cm
- B) 42π/3 cm
- C) 63π/3 cm
- D) 84π/3 cm
Answer: B) 42π/3 cm
- If the radius of a circle is halved, its circumference:
- A) Doubles
- B) Halves
- C) Quadruples
- D) Remains the same
Answer: B) Halves
- The area of the largest rectangle that can be inscribed in a circle of radius ‘r’ is:
- A) r^2
- B) r^2/2
- C) r^2/4
- D) 2r^2
Answer: C) r^2/4
- If two circles intersect at two points, they are called:
- A) Tangent circles
- B) Congruent circles
- C) Concentric circles
- D) Intersecting circles
Answer: D) Intersecting circles
