Class 9 Maths Chapter 10 Circles MCQs

# Class 9 Maths Chapter 10 Circles MCQs

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

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## Class 9 Maths Chapter 10: Circles MCQs

1. Which of the following is not a chord?
• A) Diameter
• C) Secant
• D) Tangent

2. The longest chord of a circle is:
• A) Diameter
• C) Secant
• D) Tangent

Also Check: Chapter 2 Polynomials MCQs

3. 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

4. The point where a tangent intersects the circle is called:
• A) Chord
• B) Secant
• C) Point of contact

5. If two circles intersect at two points, they are called:
• A) Tangent circles
• B) Congruent circles
• C) Concentric circles
• D) Intersecting circles

Also Check: Chapter 3 Coordinate Geometry MCQs

6. The angle subtended by an arc at the center is:
• A) Acute
• B) Obtuse
• C) Right angle
• D) Reflex

7. If the radius of a circle is 7 cm, its diameter is:
• A) 7 cm
• B) 14 cm
• C) 21 cm
• D) 28 cm

8. The number of tangents that can be drawn to a circle from an external point is:
• A) 1
• B) 2
• C) 3
• D) 0

9. If a chord and a tangent intersect externally, then the angle between them is:
• A) 30°
• B) 45°
• C) 60°
• D) 90°

Also Check: Chapter 5 Introduction to Euclid’s Geometry MCQs

10. 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

1. If a circle is divided into two equal arcs by a chord, then the chord is:
• A) Diameter
• C) Secant
• D) Tangent

1. The point of intersection of any two diameters of a circle is called:
• A) Center
• B) Chord
• D) Diameter

Also Check: Chapter 5 Introduction to Euclid’s Geometry MCQs

1. 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

1. 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

1. 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

Also Check: Chapter 7 Triangles MCQs

1. If the radius of a circle is halved, its circumference:
• A) Doubles
• B) Halves
• D) Remains the same

1. 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

1. 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

1. The angle in a semi-circle is:
• A) 45°
• B) 90°
• C) 180°
• D) 360°

1. 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°

1. The angle between two tangents drawn from an external point to a circle is:
• A) 45°
• B) 90°
• C) 120°
• D) 180°

1. 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

1. The angle in a segment of a circle is:
• A) Acute
• B) Right angle
• C) Obtuse
• D) Reflex

1. 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°

Also Check: Chapter 9 Areas of Parallelogram and Triangles

1. 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

1. 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

1. If the diameter of a circle is tripled, its circumference:
• A) Triples
• B) Doubles
• C) Increases by 6 times
• D) Increases by 9 times

1. 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

1. 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°

1. 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°

1. 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°

1. If the radius of a circle is doubled, its circumference:
• A) Doubles
• C) Halves
• D) Remains the same

1. 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

1. 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

1. The angle between two tangents drawn from an external point to a circle is:
• A) 45°
• B) 90°
• C) 120°
• D) 180°

1. 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°

1. 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

1. If the radius of a circle is halved, its circumference:
• A) Doubles
• B) Halves
• D) Remains the same

1. 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