Master “Areas Related to Circles” with Our MCQ Mock Test!

Want to strengthen your skills in the chapter Areas Related to Circles? Our Class 10 Maths Chapter 11 – Areas Related to Circles MCQ Mock Test will help you master this geometry topic with confidence!

This test covers crucial concepts such as area & circumference of a circle, length of an arc, area of sector & segment, and solving composite / shaded-region problems involving circles. Vedantu+2CBSE 360+2 Each question mirrors the kind of challenges you’ll face in exams — helping you apply formulas in different contexts.

What You’ll Get:

  • A set of thoughtfully crafted MCQs on all major topics: sector, segment, arc length, combined area problems.
  • Step-by-step explanations so you not only get the right answer, but understand why.
  • Instant scoring & feedback to spot your strengths and areas to improve.
  • Exam-style practice that boosts both speed and accuracy in geometry questions.

Why Attempt This Test?
Because “Areas Related to Circles” is more than memorising formulas — it’s about applying them smartly in different scenarios (shaded regions, real-life situations, composite shapes). This mock test prepares you to handle even tricky geometry problems with ease.

Take the test now and ace Areas Related to Circles!

1. If π is taken as  , the distance (in metres) covered by a wheel of diameter 35 cm, in one revolution, is

 
 
 
 

2. The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is

 
 
 
 

3. If the wheel of an engine of a train is  m in circumference makes seven revolutions in 4 seconds, then the speed of the train is _________ km/h.

 
 
 
 

4. If the circumference of a circle is 352 metres, then its area in square metres is

 
 
 
 

5. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct answer out of the following choices.

Assertion (A): The radius of the wheel of a bus is 30 cm. If the speed of the bus is 66 km/h, then number of revolutions made by wheel in 1 min is 250.

Reason (R): Number of revolutions in one minute = 

 
 
 
 

6. In the given figure, three sectors of a circle of radius 7 cm, making angles of 60°, 80° and 40° at the centre are shaded. The area of the shaded region (in cm2) is 

 
 
 
 

7. If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is

 
 
 
 

8. If the circumferences of two circles are in the ratio 4 : 9, then the ratio in their area is

 
 
 
 

9. ABCDEF is any hexagon with different vertices A, B, C, D, E and F as the centres of circles with same radius r are drawn. The area of the shaded portion is

 
 
 
 

10. If the difference between the circumference and the radius of of a circle is 37 cm, then using π =  the circumference (in cm) of the circle is:

 
 
 
 

11. If the circumference of a circle and the perimeter of a square are equal, then

 
 
 
 

12. The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of the two circles (in cm) is

 
 
 
 

13. The diameter of the wheel of a bus is 1.4 m. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle (in kmph) is _________.

 
 
 
 

14. If the sum of the circumferences of two circles with radii R1 and R2 is equal to the circumference of a circle of radius R, then

 
 
 
 

15. In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Choose the correct answer out of the following choices.

Assertion (A): If the radius of a circle is cm, then the area of the circle is 81 cm2.
Reason (R): If the r is radius of a circle, then area of circle is 2πr.

 
 
 
 

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