Areas Related To Circles MCQ Questions for Class 10 Maths Chapter 12 with Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 10 Mathematics book Chapter 12 Areas Related To Circles with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 10 Business Studies Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Areas Related To Circles. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 10 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 10 Mathematics with Answers

Q1. The area of a circle is 2464 sq. cm, then its diameter is given by

(i) 7cm
(ii) 14cm
(iii) 28cm
(iv) 56cm

(iv) 56cm

Q2. Area of the circle with radius 5cm is equal to:

(i)60 sq.cm
(ii)75.5 sq.cm
(iii)78.5 sq.cm
(iv)10.5 sq.cm

(iii)78.5 sq.cm

Q3. If angle of sector is 60°, radius is 3.5 cm then length of the arc is

(i) 3 cm
(ii) 3.5 cm
(iii) 3.66 cm
(iv) 3.8 cm

(iii) 3.66 cm

Q4. The area of a circle that can be inscribed in a square of side 10 cm is

(i) 40π cm²
(ii) 30π cm²
(iii) 100π cm²
(iv) 25π cm²

(iv) 25π cm²

Q5. The area of the quadrant of a circle of radius r is :

(i) 1/2πr²
(ii) 1/2πr
(iii) 1/4πr²
(iv) (π/2+2r)

(iii) 1/4πr²

Q6. If the ratio of circumference of two circles is 4:9, what is the ratio of their respective areas?

(i) 9:4
(ii) 16:81
(iii) 4:9
(iv) 2:3

(ii) 16:81

Q7. The area of a sector of a circle with radius 21cm and sector angle 120° is

(i) 462 sq. cm
(ii) 288 sq. cm
(iii) 156 sq. cm
(iv) 426 sq. cm

(i) 462 sq. cm

Q8. The largest triangle inscribed in a semi-circle of radius r, then the area of that triangle is;

(i) r²
(ii) 1/2r²
(iii) 2r²
(iv) √2r²

(i) r²

Q9. The area of the circle whose diameter is 21 cm is

(i) 346.5 cm²
(ii) 37.68 cm²
(iii) 18.84 cm²
(iv) 19.84 cm²

(i) 346.5 cm²

Q10. The perimeter of the sector with radius 10.5 cm and sector angle 60° is

(i) 32 cm
(ii) 23 cm
(iii) 41 cm
(iv) 11 cm

(i) 32 cm

Q11. If the circumference of a circle is equal to the perimeter of a square, then the ratio of their areas is :

(i) 22 : 7
(ii) 14 : 11
(iii) 7 : 22
(iv) 7 : 11

(ii) 14 : 11

Q12. If the length of the arc of a circle having a central angle 36° is 22 cm, what is the area of the circle?

(i) 3580 cm²
(ii) 3850 cm²
(iii) 3058 cm²
(iv) 3805 cm²

(ii) 3850 cm²

Q13. The area of the circle that can be inscribed in a square of side 6 cm, is

(i) 18π cm²
(ii) 12π cm²
(iii) 9π cm²
(iv) 14π cm²

(iii) 9π cm²

Q14. The ratio of the areas of the incircle and circumcircle of a square is

(i) 1 : 2
(ii) 1 : 3
(iii) 1 : 4
(iv) 1 : √2

(i) 1 : 2

Q15. If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to:

(i) 14:11
(ii) 22:7
(iii) 7:22
(iii) 11:14

(i) 14:11

Q16. The area of a circle whose circumference is 22 cm, is

(i) 11 cm²
(ii) 38.5 cm²
(iii) 22 cm²
(iv) 77 cm²

(ii) 38.5 cm²

Q17. If the radius of a circle is doubled, its area becomes

(i) 2 times
(ii) 4 times
(iii) 8 times
(iv) 16 times

(ii) 4 times

Q18. The perimeter (in cm) of a square circumscribing a circle of radius a cm, is

(i) 8 a
(ii) 4 a
(iii) 2 a
(iv) 16 a

(i) 8 a

Q19. The ratio of area of two circles whose ratio of circumference is 3:1 will be

(i) 3 : 1
(ii) 1 : 3
(iii) 1 : 9
(iv) 9 : 1

(iv) 9 : 1

Q20. The area of the circle that can be inscribed in a square of side 8 cm is

(i) 36 π cm²
(ii) 16 π cm²
(iii) 12 π cm²
(iv) 9 π cm²

(ii) 16 π cm²

Q21. The area of the circle that can be inscribed in a square of side 6 cm, is

(i) 18π cm²
(ii) 12π cm²
(iii) 9π cm²
(iv) 14π cm²

(iii) 9π cm²

Q22. The radius of sphere is r cm. It is divided into . two equal parts. The whole surface area of two parts will be

(i) 8πr² cm²
(ii) 6πr² cm²
(iii) 4πr² cm²
(iv) 3πr² cm²

(ii) 6πr² cm²

Q23. If the circumference of a circle is 352 metres, then its area in square metres is

(i) 5986
(ii) 6589
(iii) 7952
(iv) 9856

(iv) 9856

Q24. The area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm², then its radius is

(i) 12 cm
(ii) 16 cm
(iii) 8 cm
(iv) 10 cm

(iii) 8 cm

Q25. The area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.

(i) 142/7
(ii) 152/7
(iii) 132/7
(iv) 122/7

(iii) 132/7

Q26. A steel wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, then the circumference of the circle is

(i) 88 cm
(ii) 44 cm
(iii) 22 cm
(iv) 11 cm

(ii) 44 cm

Q27. If the circumference of a circle and the perimeter of a square are equal, then

(i) area of the circle = area of the square
(ii) area of the circle > area of the square
(iii) area of the circle < area of the square
(iv) nothing definite can be said about the relation between the areas of the circle and square.

(ii) area of the circle > area of the square

Q28. If the radius of a circle is increased by 100%, then its area is increased by

(i) 100%
(ii) 300%
(iii) 200%
(iv) 400%

(ii) 300%

Q29. Area of a sector of angle p (in degrees) of a circle with radius R is

(i) p/180 × 2πR
(ii) p/180 × π R²
(iii) p/360 × 2πR
(iv) p/720 × 2πR²

(iv) p/720 × 2πR²

Q30. If the circumferences of two circles are in the ratio 4 : 9, then the ratio in their area is

(i) 9 : 4
(ii) 4 : 9
(iii) 2 : 3
(iv) 16 : 81

(iv) 16 : 81

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MCQ Questions for Class 10 Mathematicss with Answers

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