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. 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

 
 
 
 

2. 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

 
 
 
 

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

 
 
 
 

5. 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 

 
 
 
 

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

 
 
 
 

7. 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:

 
 
 
 

8. 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.

 
 
 
 

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

 
 
 
 

10. 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 _________.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. 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

 
 
 
 

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): 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 = 

 
 
 
 

Question 1 of 15