Class 10 Maths MCQS Quiz

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Chapter-12 "Areas Related to Circles"

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

1 point

(a) 3 cm

(b) 3.5 cm

(d) 3.8 cm

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

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(a) 9.42 cm²

(b) 37.68 cm²

(d) 19.84 cm²

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

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(a) 11 cm²

(b) 38.5 cm²

(d) 77 cm²

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4. The area of a circle is 154 cm2. Its diameter is

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(a) 7 cm

(b) 14 cm

(d) 28 cm

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5. The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is

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(a) 153.9 cm²

(b) 102.6 cm²

(d) 205.2 cm²

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

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(a) 18π cm²

(b) 12π cm²

(d) 14π cm²

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

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(a) 4 units

(b) n units

(d) 2 units

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

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(a) 2670 m

(b) 2880 m

(d) 1596 m

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9. Area of the largest triangle that can be inscribed in a semi-circle of radius r units is

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(a) r² sq. units

(b) 1/2 r² sq. units

(d) √2 r² sq. units

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

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(a) 9 : 4

(b) 4 : 9

(d) 16 : 81

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

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(a) 1 : 2

(b) 1 : 3

(d) 1 : √2

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

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(a) 22:7

(b) 14:11

(d) 11:14

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13. The perimeter of a semicircular protractor whose radius is 7cm is

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(a) 18cm

(b) 27cm

(d) 72cm

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

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(a) p/180 × 2πR

(b) p/180 × π R2

(d) p/720 × 2πR2

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15. The length of an arc of sector of angle A is

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(a) (A/360)*2πr

(b) (A/360)*πr2

(d) None

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16. The radii of two circles are 19 cm and 9 cm respectively. The radius of the circle which has circumference equal to the sum of the circumference of two circles is

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(a) 35 cm

(b) 10 cm

(d) 28 cm

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

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(a) 100%

(b) 300%

(d) 400%

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

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(a) 1/2πr²

(b) 1/2πr

(d) (π/2+2r)

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

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(a) 32 cm

(b) 23 cm

(d) 11 cm

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

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(a) 3580 cm²

(b) 3850 cm²

(d) 3805 cm²

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