MCQ Questions For Class 10 Areas Related to Circles

Areas Related to Circles Class 10 MCQ is one of the best strategies to prepare for the CBSE Class 10 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more MCQ on Areas Related to Circles class 10, which will help them all through their board test.

Areas Related to Circles Class 10 MCQ Questions with Answer

Class 10 Math MCQ with answers are given here to chapter 12 Areas Related to Circles . These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 10 Mathematics syllabus. By Solving these Class 10 MCQs, you will be able to analyze all of the concepts quickly in the chapter and get ready for the Class 10 Annual exam.

Learn Circle Class 10 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 10 Mathematics Quadratic Equation MCQ with answers given below.

Question 1. The length of the minute hand of a wall clock is 21 cm long. What is the area swept by it in 10 minutes?
(a) 231 cm²
(b) 221 cm²
(c) 210cm²
(d) 200cm²

Question 2. If the radius of a circle is 7/√7 cm, find the area of the circle.
(a) 154 cm²
(b) 49/π cm²
(c)22 cm²
(d) 49 cm²

Question 3. If the ratio of circumference of two circles is 4:9, what is the ratio of their respective areas?
(a) 9:4
(b) 16:81
(c) 4:9
(d) 2:3

Question 4. If the length of the arc of a circle having a central angle 36° is 22 cm, what is the area of the circle?
(a) 3580 cm²
(b) 3850 cm²
(c) 3058 cm²
(d) 3805 cm²

Question 5. Find the area of a segment of a circle of radius 21 cm if the angle made by the arc of the segment has a measure of 600 .
(a) 45.27 cm²
(b) 40.27 cm²
(c) 40.8 cm²
(d) 44.27 cm²

Question 6. The top of a dining table is rectangular, 2x units long and x units wide, with two semicircles along the breadth. Find the area of the table.

Question 7. If the ratio of areas of two circles is 16:25, what is the respective ratio of their circumferences?
(a) 25:16
(b) 5:4
(c) 4:5
(d) 3:5

Question. 8 Mrs. Vidya bought a piece of cloth as shown in the figure. The portion of the cloth that is not coloured consists of 6 identical semicircles. 

Find the area of the coloured portion.
(a) 144 cm²
(b) 126 cm²
(c) 195cm²
(d) 243 cm²

Question 9. The given figure shows two identical circles and a rectangle.

 What is the unshaded area of the figure in cm² ? (Takeπ = 3.14 .)
(a) 40
(b) 43
(c) 25
(d) 33

Question 10. The figure shows a right-angled triangle and a semicircle. PQ is the diameter of the semicircle.

Find the perimeter of the whole figure.
(a) 13 + 8π
(b) 30 + 5π
(c) 18 + 6π
(d) 18 + 10π

Question 11. A regular hexagon is inscribed in a circle of radius 14 cm. Find the area of the circle falling outside the hexagon.
(a)106.79 cm²
(b) 241.8 cm²
(c) 79.27 cm²
(d) 173.9 cm²

Question 12. 4 identical semicircles are drawn inside a big square as shown. Each side of the big square is 14cm long.

Find the area of the shaded region. (Use π = 22/7.)
(a) 125cm²
(b)112 cm²
(c) 173cm²
(d) 159 cm²

Question 13. A wire bent in the form of a circle of radius 42 cm is cut and again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?
(a) 11 : 12
(b) 21 : 33
(c) 22 : 33
(d) 14 : 11

Question 14. In the given figure, a circle with centre B overlaps another circle with centre A and a square. The ratio of areas of P and Q is 5 :4 and the area of Q is 1/8 the area of circle B. The radii of circle A and circle B are 10 cm and 8 cm respectively.

Find the area of the unshaded part of the figure. (Take π = 3.14 .)
(a) 449.75 cm²
(b) 520.60 cm²
(c) 563.72 cm²
(d) 450.92 cm²

Question 15. The given figure shows 2 identical circles inside a rectangle in 2 cm .

Find the shaded area of the figure. (Take π = 3.14.)
(a) 1300
(b) 1154
(c) 1092
(d) 1256

Question 16. A square shaped bus shelter is supported on four circular poles-The circumference of each pole is ‘x’ m and the length of each side of the shelter is ‘y’ m. Find the area of the unsupported part of the shelter.

Question 17. The given figure shows a plot of land, which is made up of 2 semicircles, a rectangle and an isosceles triangle. The diameter of the bigger semicircle is 7 m longer than that of the smaller semicircle. (Use π = 22/7.) 

If the shaded region is covered with grass, find the area of the land covered with grass.
(a) 502 m²
(b) 497 m²
(c) 433 m²
(d) 564 m²

Question 18. A copper wire, when bent in the form of a square, encloses an area of 484 cm² . If the same wire is bent in the form of a circle, find the area in cm² .
(a) 606
(b) 661
(c) 616
(d) 610

Question 19. The figure shows an isosceles triangle and a semicircle with centre O.

Given that the radius of the semicircle is 2.8 cm, find the perimeter of the given figure.
(a) 15.6 cm
(b) 18.8 cm
(c) 16.8 cm
(d) 20.4 cm

Question 20. The difference between circumference and radius of a circle is 37 m. Find the circumference of the circle.
(a) 7 m
(b) 44 m
(c) 154 m
(d) 186 m

Question 21. The figure given is made up of a circle and 3 identical semicircles. 0 is the centre of the circle and XY is the diameter of the circle.

Given that XY is 28 cm, find the perimeter of the shaded part of the figure. (Use π = 22/7.)
(a) 67 cm
(b) 50 cm
(c) 80 cm
(d) 15 cm

Question 22. The area of a square inscribed in a circle of diameter p cm is   
(a) p² cm²
(b) p/4cm²
(c) p ² /2 cm²
(d) p /2 cm²

Question 23. The area of the square that can be inscribed in a circle of radius 8 cm is     
(a) 256 cm²
(b) 128 cm²
(c) 64 √2 cm²
(d) 64 cm²

Question 24. If the perimeter of an arc of a circle is 43 cm and the radius of the circle is 21 cm, find the angle subtended at the centre.
(a) 3.72°
(b) 2.73°
(c) 2.37°
(d) 3.27°

Question 25. If the area of a circle is 154 cm², then its perimeter is     
(a) 11 cm
(b) 22 cm
(c) 44 cm
(d) 55 cm

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Question 26. The area of a quadrant of a circle whose circumference is 616 cm will be     
(a) 7546 cm²
(b) 7500 cm²
(c) 7456 cm²
(d) 7564 cm²

Question 27. The area of a circle whose area and circumference are numerically equal is   
(a) 2π sq. units
(b) 4π sq. units
(c) 6π sq. units
(d) 8π sq. units

Question 28. If the area of circle is 1386 cm², then its circumference is       
(a) 66 cm
(b) 88 cm
(c) 132 cm
(d) 264 cm

Question 29. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is       
(a) 56 cm
(b) 42 cm
(c) 28 cm
(d) 16 cm

Question 30. The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is       
(a) 31 cm
(b) 25 cm
(c) 62 cm
(d) 50 cm

Question 31. The ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal is   
(a) π : √2
(b) π : √3
(c) √3 : π
(d) √2 : π

Question 32. The figure given shows a rectangle with a semi-circle and 2 identical quadrants inside it. What is the shaded area of the figure? (Use π = 22/6 7 )     

(a) 363 cm²
(b) 259 cm²
(c) 305 cm²
(d) 216 cm²

Question 33. The diameter of a wheel is 1 m. The number of revolutions it will make to travel a distance of 22 km will be       
(a) 2,800
(b) 4,000
(c) 5,500
(d) 7,000

Question 34. A circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular park is 132 cm. Its width is   
(a) 20 cm
(b) 21 cm
(c) 22 cm
(d) 24 cm

Question 35. If the sector of a circle of diameter 14cm subtends an angleof 30° at the centre, then its area is     
(a) 49π
(b) 49π/12
(c) 242/ 3π
(d) 121/ π

Question 36. If the sector of a circle of diameter 10 cm subtends an angle of 144° at the centre, then the length of the arc of the sector is     
(a) 2π cm
(b) 4π cm
(c) 5π cm
(d) 6π cm

Question 37. A race track is in the form of a ring whose inner and outer circumference are 437m and 503m respectively. The area of the track is     
(a) 66 sq. cm
(b) 4935 sq. cm
(c) 9870 sq. cm
(d) None of these

Question 38. The perimeter of a sector of a circle with central angle 90° is 25 cm. Then the area of the minor segment of the circle is.     
(a) 14 cm²
(b) 16 cm²
(c) 18 cm²
(d) 24 cm²

Question 39. If the ratio of the areas of the two circles is 25 : 16, then the ratio of their circumferences is     
(a) 25/ 16
(b) 4/ 5
(c) 5 /4
(d) 500 /625

Question 40. In the adjoining figure, OABC is a C square of side 7 cm. OAC is a quadrant of a circle with O as centre. The area of the shaded region is   
(a) 10.5 cm²
(b) 38.5 cm²
(c) 49 cm²
(d) 11.5 cm²

Question 41. If the radius of a circle is diminished by 10%, then its area is diminished by   
(a) 10%
(b) 19%
(c) 36%
(d) 20%

Question 42. If the sum of the circumferences of two circles with diameters d1 and d² is equal to the circumference of a circle of diameter d, then   

(a) d₁²+d₂²=d²
(b) d₁+ d₂ = d
(c) d₁+ d₂ > d
(d) d₁+ d₂ < d

Question 43. Which of the following statement is/are not correct?     
(a) A chord divides the interior of a circle into two parts.
(b) An arc of a circle whose length is less than that of a semicircle of the same circle is a called a minor arc.
(c) Circles having the same centre but different radii are called concentric circles.
(d) A line segment joining any two points of a circle is called an arc.

Question 44. The sum of the areas of two circles, which touch each other externally, is 153 π. If the sum of their radii is 15, then the ratio of the larger to the smaller radius is   
(a) 4 : 1
(b) 2 : 1
(c) 3 : 1
(d) None of these

Question 45. If the perimeter of a semi-circular protractor is 36 cm, then its diameter is     
(a) 10 cm
(b) 14 cm
(c) 12 cm
(d) 16 cm

Question 46. The area of a circular ring formed by two concentric circles whose radii are 5.7 cm and 4.3 cm respectively is (Take π = 3.1416)   
(a) 43.98 sq.cm
(b) 53.67 sq. cm
(c) 47.24 sq.cm
(d) 38.54 sq.cm

Question 47. A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240º. If another circle of the area same as the sector is formed, then radius of the new circle is   
(a) 79.5 cm
(b) 81.6 cm
(c) 83.4 cm
(d) 88.5 cm

Question 48. Which of the following is/are not correct?       
(a) Area of a circle with radius 6 cm, if angle of sector is 60°, is 132/14cm². 
(b) If a chord of circle of radius 14 cm makes an angleof 60° at the centre of the circle, then area of major  sector is 512.87 cm².
(c) The ratio between the circumference and area of a circle of radius 5 cm is 2 : 5.
(d) Area of a circle whose radius is 6 cm, when the length of the arc is 22 cm, is 66 cm².

Question 49. The area of a sector of angle p (in degrees) of a circle with radius R is     
(a) p/360°×2πR
(b) p/180°×πR²
(c) p/720°×2πR
(d) p/720°×2πR²

Question 50. Find area of minor segment made by a chord which subtends right-angle at the centre of a circle of radius 10 cm.        
(a) 24.5 cm²
(b) 25.5 cm²
(c) 24.5 cm²
(d) 28.5 cm2

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