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### 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

**Lesson 1. Real Numbers Class 10 MCQs****Lesson 2. Polynomials Class 10 MCQs****Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs****Lesson 4. Quadratic Equations Class 10 MCQs****Lesson 5. Arithmetic Progression Class 10 MCQs****Lesson 6. Triangles Class 10 MCQs****Lesson 7. Coordinate Geometry Class 10 MCQs****Lesson 8. Introduction To Trigonometry Class 10 MCQs****Lesson 9. Some Applications Of Trigonometry Class 10 MCQs****Lesson 10. Circles Class 10 MCQs****Lesson 11. Constructions Class 10 MCQs****Lesson 12. Areas Related To Circles Class 10 MCQs****Lesson 13. Surface Areas And Volumes Class 10 MCQs****Lesson 14. Statistics Class 10 MCQs****Lesson 15. Probability Class 10 MCQs**