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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