Areas Related to Circles MCQ

NCERT Class 10 Maths Chapter 11 Online Test – Areas Related to Circles (50 MCQs) | Board Exam 2026

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NCERT Class 10 Maths Chapter 11 Online Test – Areas Related to Circles (50 MCQs)
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NCERT Class 10 Mathematics – Chapter 11: Areas Related to Circles

Online test strictly based on NCERT textbook for Board Exam 2026.

  • Area of a circle is πr2.
  • Area of a sector depends on the angle at the centre.
  • Area of a semicircle is half of the area of a circle.
  • Area of a quadrant is one-fourth of the area of a circle.
  • Area of a segment is found by subtracting the area of the triangle from the area of the sector.

Q1. The area of a circle of radius 7 cm is:

154 cm2
44 cm2
308 cm2
77 cm2
Using πr2 with r = 7 cm gives 154 cm2.

Q2. If the radius of a circle is doubled, its area becomes:

Double
Four times
Half
Same
Area is proportional to r2, so it becomes four times.

Q3. The area of a semicircle of radius r is:

πr2
2πr
(1/2)πr2
πr
A semicircle has half the area of a circle.

Q4. The area of a quadrant of radius r is:

πr2
(1/2)πr2
(3/4)πr2
(1/4)πr2
A quadrant is one-fourth of a circle.

Q5. The formula for the area of a sector of angle θ is:

(θ/360) × πr2
πr2
2πr
πr
Sector area is the corresponding fraction of the circle area.

Q6. The area of a sector of angle 180° is:

Full circle
Half of the circle
One-fourth of the circle
Zero
180° is half of 360°.

Q7. The area of a circle is proportional to:

r
2r
r2
πr
Area varies as the square of the radius.

Q8. The area of a circle of diameter 14 cm is:

154 cm2
308 cm2
77 cm2
616 cm2
Diameter 14 cm gives radius 7 cm.

Q9. The area of a circle increases when:

Radius decreases
Radius increases
Radius is zero
Diameter is zero
Increasing radius increases area.

Q10. The area of a sector depends on:

Only radius
Only angle
Diameter
Radius and angle
Both radius and central angle determine the sector area.

Q11. The area of a circle of radius 21 cm is:

924 cm2
2772 cm2
1386 cm2
462 cm2
π × 21 × 21 = 1386 cm2.

Q12. The area of a semicircle of radius 14 cm is:

308 cm2
154 cm2
616 cm2
77 cm2
Half of π × 14 × 14 equals 308 cm2.

Q13. The area of a quadrant of radius 7 cm is:

154 cm2
38.5 cm2
77 cm2
44 cm2
One-fourth of 154 cm2 equals 38.5 cm2.

Q14. The area of a sector of angle 60° is what fraction of the circle?

1/2
1/3
1/6
1/4
60°/360° equals 1/6.

Q15. The area of a circle is maximum when:

Radius is maximum
Radius is minimum
Radius is zero
Radius is constant
Larger radius gives larger area.

Q16. The area of a minor sector is always:

Equal to the circle
Less than the circle
Greater than the circle
Zero
Minor sector represents less than full circle.

Q17. The area of a major sector is:

More than the minor sector
Less than the minor sector
Equal to the minor sector
Zero
Major sector occupies larger part of circle.

Q18. The area of a circle is independent of:

Radius
Diameter
π
Angle
Area of a full circle does not depend on angle.

Q19. The area of a circle of radius 10 cm is:

314 cm2
628 cm2
157 cm2
100 cm2
π × 10 × 10 equals 314 cm2.

Q20. The area of a semicircle is given by:

πr2
2πr
(1/2)πr2
πr
Semicircle has half the area of circle.

Q21. The area of a quadrant is:

Half the area of circle
One-fourth the area of circle
Three-fourth the area of circle
Equal to the area of circle
Quadrant is one-fourth of a circle.

Q22. The area of a segment is found by:

Area of sector minus area of triangle
Area of triangle minus area of sector
Area of circle minus area of sector
Area of circle minus area of triangle
Segment excludes the triangle inside the sector.

Q23. The area of a circle of radius 3.5 cm is:

77 cm2
154 cm2
38.5 cm2
44 cm2
π × 3.5 × 3.5 equals 38.5 cm2.

Q24. The area of a sector increases if:

Radius decreases
Angle decreases
Radius remains same
Angle increases
Larger angle gives larger sector area.

Q25. The area of a circle is measured in:

Square units
Units
Cubic units
Metres
Area is measured in square units.

Q26. The value of π used in calculations is:

3
22/7 or 3.14
7/22
2
π is approximated as 22/7 or 3.14.

Q27. The area of a sector is less than the area of a circle when the angle is:

360°
0°
Less than 360°
Equal to 360°
Any angle less than 360° gives smaller area.

Q28. The area of a circle is zero when the radius is:

0
1
-1
π
Zero radius gives zero area.

Q29. The area of a circle of circumference 22 cm is:

154 cm2
77 cm2
44 cm2
38.5 cm2
Circumference 22 cm gives radius 3.5 cm.

Q30. The area of a sector depends directly on:

Diameter
Angle at the centre
Circumference
Chord length
Sector area increases with angle.

Q31. The area of a major segment is:

Greater than the area of a semicircle
Less than the area of a semicircle
Equal to the area of a semicircle
Zero
Major segment covers more than half circle.

Q32. The area of a minor segment is:

Greater than the circle
Equal to the circle
Less than the circle
Zero
Minor segment is smaller part of circle.

Q33. The area of a circle doubles when the radius is multiplied by:

√2
√2
2
4
Area ∝ r2, so radius must multiply by √2.

Q34. The area of a quadrant of a circle is equal to:

Half the area of circle
Three-fourth the area of circle
Full area of circle
One-fourth the area of circle
Quadrant is one-fourth of a circle.

Q35. The area of a circle of radius r is proportional to:

r2
r
2r
πr
Area depends on square of radius.

Q36. The area of a sector is maximum when the angle is:

0°
180°
360°
90°
360° gives full circle.

Q37. The area of a circle is four times when the radius is:

Doubled
Doubled
Halved
Tripled
Doubling radius gives four times area.

Q38. The area of a circle of radius 14 cm is:

616 cm2
308 cm2
154 cm2
77 cm2
π × 14 × 14 equals 616 cm2.

Q39. The area of a semicircle of radius 7 cm is:

154 cm2
77 cm2
77 cm2
38.5 cm2
Half of 154 cm2 equals 77 cm2.

Q40. The area of a sector of angle 90° is:

Half of the circle
One-fourth of the circle
Three-fourth of the circle
Full circle
90°/360° equals 1/4.

Q41. The area of a circle depends on:

Angle
Circumference
Chord
Radius
Radius determines the area.

Q42. The area of a sector is zero when the angle is:

0°
90°
180°
360°
Zero angle gives zero area.

Q43. The area of a segment is always:

Equal to the area of circle
Greater than the area of circle
Less than the area of circle
Zero
Segment is part of a circle.

Q44. The area of a circle of radius 1 unit is:

2π
π
1
π2
π × 1 × 1 equals π.

Q45. The area of a sector of angle 120° is what fraction of the circle?

1/3
1/4
1/2
2/3
120°/360° equals 1/3.

Q46. The area of a circle is proportional to the square of its:

Diameter
Circumference
Angle
Radius
Area ∝ r2.

Q47. The area of a circle becomes half when the radius is multiplied by:

1/2
1/√2
√2
2
Area halves when radius is multiplied by 1/√2.

Q48. The area of a sector of angle 30° is:

1/12 of the circle
1/6 of the circle
1/4 of the circle
1/3 of the circle
30°/360° equals 1/12.

Q49. The area of a quadrant is equal to:

Area of semicircle
Area of full circle
One-fourth area of circle
Three-fourth area of circle
Quadrant is one-fourth of circle.

Q50. This chapter mainly deals with:

Triangles
Areas of circles, sectors and segments
Statistics
Algebra
Chapter 11 focuses on areas related to circles.
Q1. The area of a circle of radius 7 cm is: Q2. If the radius of a circle is doubled, its area becomes: Q3. The area of a semicircle of radius r is: Q4. The area of a quadrant of radius r is: Q5. The formula for the area of a sector of angle θ is: Q6. The area of a sector of angle 180° is: Q7. The area of a circle is proportional to: Q8. The area of a circle of diameter 14 cm is: Q9. The area of a circle increases when: Q10. The area of a sector depends on: Q11. The area of a circle of radius 21 cm is: Q12. The area of a semicircle of radius 14 cm is: Q13. The area of a quadrant of radius 7 cm is: Q14. The area of a sector of angle 60° is what fraction of the circle? Q15. The area of a circle is maximum when: Q16. The area of a minor sector is always: Q17. The area of a major sector is: Q18. The area of a circle is independent of: Q19. The area of a circle of radius 10 cm is: Q20. The area of a semicircle is given by: Q21. The area of a quadrant is: Q22. The area of a segment is found by: Q23. The area of a circle of radius 3.5 cm is: Q24. The area of a sector increases if: Q25. The area of a circle is measured in: Q26. The value of π used in calculations is: Q27. The area of a sector is less than the area of a circle when the angle is: Q28. The area of a circle is zero when the radius is: Q29. The area of a circle of circumference 22 cm is: Q30. The area of a sector depends directly on: Q31. The area of a major segment is: Q32. The area of a minor segment is: Q33. The area of a circle doubles when the radius is multiplied by: Q34. The area of a quadrant of a circle is equal to: Q35. The area of a circle of radius r is proportional to: Q36. The area of a sector is maximum when the angle is: Q37. The area of a circle is four times when the radius is: Q38. The area of a circle of radius 14 cm is: Q39. The area of a semicircle of radius 7 cm is: Q40. The area of a sector of angle 90° is: Q41. The area of a circle depends on: Q42. The area of a sector is zero when the angle is: Q43. The area of a segment is always: Q44. The area of a circle of radius 1 unit is: Q45. The area of a sector of angle 120° is what fraction of the circle? Q46. The area of a circle is proportional to the square of its: Q47. The area of a circle becomes half when the radius is multiplied by: Q48. The area of a sector of angle 30° is: Q49. The area of a quadrant is equal to: Q50. This chapter mainly deals with:
Disclaimer: We are not affiliated with NCERT. Although every care has been taken in creating this test, in case of any confusion, students should consider the NCERT textbooks and the opinion of their subject teacher as final.

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