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AREAS RELATED TO CIRCLES



AREAS RELATED TO CIRCLES


MCQs

1          If the perimeter of a semicircular protractor is 36 cm, then its diameter is :

(a) 10 cm                                                        (b) 12 cm
(c) 14 cm                                                        (d) 15 cm
2          The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 40 cm and 9 cm is

(a) 41 cm                                                        (b) 49 cm
(c) 82 cm                                                        (d) 62 cm
3          If the diameter of a semicircular protractor is 14 cm, then the perimeter of the protractor is :
 (a) 26 cm                                                       (b) 14 cm
(c) 28 cm                                                        (d) 36 cm

4          The area of a circle whose circumferenc is 44 cm is :

(a) 152 cm2                                                    (b) 153 cm2
(c) 154 cm2                                                    (d) 150 cm2
5          A region in the circle, bounded by an arc and a chord, including the arc and the chord is

(a) sector                                                        (b) segment
(c) minor arc                                                  (d) major arc

6          If a circle of radius 7 cm is divided into 10 equal parts, then the area of each sector is :

(a) 14.5 cm2                                                  (b) 15.4 cm2
(c) 15.6 cm2                                                  (d) 16.5 cm2
7.         If the diameter of the wheel of a cycle is 7cm, then its area is :

(a) 77 cm2                                                     (b) 22 cm2
(c)772 cm2                                                    (d) 770 cm2

8.         If the radius of a circle is doubled, then area of the circle becomes :

(a) double                                                      (b) triple
(c) four times                                                 (d) same

9.         The ratio of the area and circumference of a circle of radius 4 cm is :

(a)  4 : 1                                                           (b) 2 : 1
(c) 1 : 2                                                           (d) 8 : 1

10.       The diameter of a circle of area 154 cm2 is :
(a) 7 cm                                                          (b) 14 cm
(c) 21 cm                                                        (d) 7 2 cm

11.       If 100 p cm2 is the area of a circle, then its circumference is :

(a) 50p cm                                                     b) 20p cm
(c) 10p cm                                                      (d) 25p cm
12.       The area of a circle of circumference 12 is :

(a) 3p                                                              (b) 3/p
(c) 2p                                                              (d) 2/p

13.       If the area of a sector of a circle of radius 6 cm is 9 p cm, then the angle subtended at the centre of the circle is :

(a)  30°                                                            (b) 60°
(c) 90°                                                             (d) 120°

14.       If a copper wire of length 88 cm is bent in the form of a circle, then the radius of the circle is :
(a) 7 cm                                                          (b) 14 cm
(c) 772 cm                                                      (d) none of these

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

(a) 36p cm2                                                   (b) 18p cm2
(c) 12p cm2                                                   (d) 9p cm2

16.       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

17.       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

18.       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

19.       If the perimeter and the area of a circle are numerically equal, then the radius of the circle is :
(a)  2 units                                                      (b) p units
(c) 4 units                                                      (d) 7 units

20.       A steel wire, when bent in the form of a square,enclosed an area of 121 cm2. The same wire is bent in the form of a circle. The area of the circle is :

(a) 154 cm2                                                   (b) 145 cm2
(c) 451 cm2                                                   (d) 541 cm2

21.       A race track is in the form of a ring whose inner and outer circumferences are 437 m and 503 m respectively. The width of the track is :

(a) 10.5 m                                                      (b) 20.5 m
(c) 21 m                                                          (d) 30 m

22.       Two circles touch internally. The sum of their areas is 116p cm2 and the distance between their centres is 6 cm. The radii of the circles are :

(a) 4 cm and 9 cm                                        (b) 4 cm and 10 cm
(c) 5 cm and 10 cm                                      (d) 4 cm and 20 cm

23.       If the sum of the circumferences of two circles  with radii R1 and R2 is equal to the circumference of a circle of radius R, then :
(a) R1 + R2 = R
(b) R1 + R2 > R
(c) R1 + R2 < R
(d) nothing definite can be said about the relation among R1, R2 and R.


24        The perimeter of the sector of a circle whose central angle is 45° and radius 7 cm is :

(a) 39 cm                                                        (b) 19.5 cm
(c) 35 cm                                                        (d) 17.5 cm

25.       If the circumference of a circle and the perimeter of a square are equal, then :
(a) Area of the circle = Area of the square
(b) Area of the circle > Area of the square
(c) Area of the circle < Area of the square
(d) Nothing definite can be said about the relation between the areas of the circle and square.
26.       The length of a wire in the form of an equilateral triangle is 44 cm. If it is rebent into the form of a circle, then area of the circle is :
(a) 484 cm2                                                   (b) 176 cm2
(c) 154 cm2                                                   (d) 144 cm2

27.       If 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) 7 : 22                                                         (d) 11 : 14

28.       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 the locality. The radius of the new park would be :

(a) 10 m                                                          (b) 15 m
(c) 20 m                                                          (d) 24 m

29.       The length of the minute hand of a clock is 6 cm.The area swept by the minute hand in 10 minutes is :

(a) 12p cm2                                                   (b) 36p cm2
(c) 9p cm2                                                      (d) 6p cm2

30.       If we decrease the radius of a circle by 20%, then its circumference will be reduced by

(a) 40%                                                          (b) 10%
 (c) 20%                                                          (d) 50%




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