MCQ Questions for Class 10 Maths: Ch 12 Areas Related to Circles
1. The area of a circle whose circumference is 22 cm, is
(a) 11 cm2
(b) 38.5 cm2
(c) 22 cm2
(d) 77 cm2
► (b) 38.5 cm2
2. 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
(a) 35 cm
(b) 10 cm
(c) 21 cm
(d) 28 cm
► (d) 28 cm
6. The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
(a) 8 a
(b) 4 a
(c) 2 a
(d) 16
► (a) 8 a
► (b) 38.5 cm2
2. 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
(a) 35 cm
(b) 10 cm
(c) 21 cm
(d) 28 cm
► (d) 28 cm
3. The area of a sector of a circle bounded by an arc of length 5Ï€ cm is equal to 20Ï€ cm2, then its radius is
(a) 12 cm
(b) 16 cm
(c) 8 cm
(d) 10 cm
► (c) 8 cm
4. 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:
(a) 5
(b) 7
(c) 10
(d) 14
► (c) 10
5. If the area of a circle is 154 cm2, then its perimeter is
(a) 11cm
(b) 22 cm
(c) 44 cm
(d) 55 cm
► (c) 44 cm
6. The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
(a) 8 a
(b) 4 a
(c) 2 a
(d) 16
► (a) 8 a
7. The ratio of area of two circles whose ratio of circumference is 3:1 will be
(a) 3 : 1
(b) 1 : 3
(c) 1 : 9
(d) 9 : 1
► (d) 9 : 1
8. The area of the square that can be inscribed in a circle of radius 12 cm is
(a) 288 sq. cm
(b) 576 sq. cm
(c) 144 sq.cm
(d) 500 sq. cm
► (a) 288 sq. cm
9. If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is:
(a) 4 units
(b) n units
(c) 8 units
(d) 2 units
► (c) 8 units
10. The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is
(a) 2670 m
(b) 2880 m
(c) 1980 m
(d) 1596 m
► (c) 1980 m
11. The ratio of the areas of the incircle and circumcircle of a square is
(a) 1 : 2
(b) 1 : 3
(c) 1 : 4
(d) 1 : √2
► (a) 1 : 2
12. The distance covered by a circular wheel of diameter ‘d’ in 100 revolutions is
(a) 100Ï€
(b) 100d
(c) πd
(d) 100Ï€d
► (d) 100Ï€d
13. The perimeter of a circle is equal to that of a square, then the ratio of their areas is
(a) 22 : 7
(b) 14 : 11
(c) 1 : 22
(d) 11 : 14
► (b) 14 : 11
14. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be
(a) 10 m
(b) 15 m
(c) 20 m
(d) 24 m
► (a) 10 m
15. The area of a sector of a circle with radius 21cm and sector angle 120∘ is
(a) 462 sq. cm
(b) 288 sq. cm
(c) 156 sq. cm
(d) 426 sq. cm
► (a) 462 sq. cm
16. The area of the circle that can be inscribed in a square of side 10cm is
(a) 25 sq.cm
(b) 10Ï€ sq.cm
(c) 125Ï€ sq.cm
(d) 20Ï€ sq.cm
► (c) 125Ï€ sq.cm
17. The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is
(a) 2670 m
(b) 2880 m
(c) 1980 m
(d) 1596 m
► (c) 1980 m
18. If ‘r’ is the radius of a circle, then its perimeter is given by
(a) πr
(b) 2Ï€r
(c) 2Ï€d
(d) none of these
► (b) 2Ï€r
19. The area of a circle is 2464 sq. cm, then its diameter is given by
(a) 7cm
(b) 14cm
(c) 28cm
(d) 56cm
► (d) 56cm
20. The perimeter of a semicircular protractor whose radius is 7cm is
(a) 18cm
(b) 27cm
(c) 36cm
(d) 72cm
► (c) 36cm
21. The circumference of a circle exceeds its diameter by 120cm, then its radius is
(a) 56cm
(b) 14cm
(c) 42cm
(d) 28cm
► (d) 28cm
22. If the radius of a circle is increased by 100%, then its area is increased by
(a) 100%
(b) 300%
(c) 200%
(d) 400%
► (b) 300%