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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 12 : Areas Reacted to Circles
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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 12 : Areas Reacted to Circles
1. The distance covered by travelling once
around a circle is its
a) Perimeter
b) Circumference
c) Both
a & b
d) None
2. π (pi) is the ratio of
a) circumference
of a circle to its diameter
b) diameter
of a circle to its circumference
c) circumference
of a circle to its radius
d) radius
of a circle to its circumference
3. Which of the following gives the value
of π (pi)
a) (circumference of a circle)/(diameter of a circle)
b) 22/7
c) 3.14159
d) All of the above
4. Find the cost of construction of a road of width 20m
with inner diameter 40m as shown in fig below. The rate construction of road is
Rs. 1000/sq.m
a) Rs.
628000
b) Rs.
6280000
c) Rs.
1280000
d) Rs.
1280000
5. Find the difference of area of two circles
if their radii differ by 10m and sum of their radii is 140m.
a) 1100
sq.m
b) 2200
sq.m
c) 4400
sq.m
d) 8800
sq.m
6. Find the difference of area of two
circles if their radii differ by x and sum of their radii is y.
a) πx2y2
b) πxy
c) π(x
– y)
d) π(x
+ y)
7. Find the side of the square whose area
is equal to the sum of the area of two circles of radii 7cm and 14cm.
a)√21π
b) √245π
c) 21π
d) 245π
8. The ratio of side of a square to the diameter of a
circle having equal area is
a) 1: √π
b) √π :1
c) √π : 2
d) 2: √π
9. Find
where a
and d are the side and diameter of
equilateral triangle and circle respectively. The areas of equilateral triangle
and circle are equal.
a )π : 3
b) 3 : π
c) π : √3
d) √3 : π
a )π : 3
b) 3 : π
c) π : √3
d) √3 : π
10. A dice is thrown randomly on circular
board as shown in figure below. Find the probability that it will fall in
yellow region
a) 1/9
b) 2/9
c) 1/3
d) 2/3
b) 2/9
c) 1/3
d) 2/3
11. How many revolution doses the wheel of bike makes
in 6 minutes if its speed of the bike is 31.4km/h. Given that the diameter of
each wheel of the bike is 100cm.(Take π = 3.14)
a) 10.0
b) 31.4
c) 20.0
d) 62.8
12. The speed of the car is 30 revolutions per minute,
find the speed of the car in kms per hour. Given that the diameter of each
wheel of the bike is 100cm.
a) 82.4km/h
b) 92.4km/h
c) 98.2km/h
d) 100.2km/h
13. Find the radius of the circle whose perimeter and
area have same numerical values.
a) 1
unit
b) 2
units
c) π
units
d) 2π
units
14. The portion (or part) of the circular
region enclosed by two radii and the corresponding arc is called a
a) sector
of the circle
b) segment
of the circle.
c) semicircle.
d) tangent
15. The portion (or part) of the circular
region enclosed between a chord and the corresponding arc is called a
a) sector
of the circle
b) segment
of the circle
c) semicircle
d) tangent
16. What is area of a sector whose angle
is Θ and radius is r?
a) (πr^2 Θ)/90
b) (r^2 Θ)/360
c) (πr^2 Θ)/360
d) 2πrΘ/360
a) (πr^2 Θ)/90
b) (r^2 Θ)/360
c) (πr^2 Θ)/360
d) 2πrΘ/360
17. What is length
of the arc of a sector whose angle is Θ and radius is r?
a) (πr^2 Θ)/90
b) (r^2 Θ)/360
c) (πr^2 Θ)/360
d) 2πrΘ/360
a) (πr^2 Θ)/90
b) (r^2 Θ)/360
c) (πr^2 Θ)/360
d) 2πrΘ/360
19. Find the
area of shaded portion if the radius of the circle is r
a)〖2πr〗^2 ((360°-Θ)/360)
b)〖πr〗^2 ((360°-Θ)/360)
c)〖πr〗^2 (3Θ/(360°))
d)〖2πr〗^2 (Θ/(360°))
b)〖πr〗^2 ((360°-Θ)/360)
c)〖πr〗^2 (3Θ/(360°))
d)〖2πr〗^2 (Θ/(360°))
20. Find the area of shaded
portion in the figure given below
a) 205.3 cm2
b) 49√3 cm2
c) (205.3 - 49√3) cm2
d) (49√3 - 205.3) cm2
b) 49√3 cm2
c) (205.3 - 49√3) cm2
d) (49√3 - 205.3) cm2
21. If the circumference of a circle is
132 cm, find the area of its quadrant.
a) 1320
cm2
b) 1386
cm2
c) 1836
cm2
d) 1864
cm2
22. Find the area swept by minute hand
whose length if 7cm in 10 minutes
a a) 77/3 cm2
b) 77/2 cm2
b) 77/2 cm2
c) 88/3 cm2
d) 44 cm2
23. A horse
is tied to a peg at one corner of a square shaped grass field of side 20m by
means of a rope of 5m has eaten all the grass in the area it can reach. If the
rope length is increased to 17m, how much area would be available for it to
graze?
a)
39.5 sq.m
b) 93.5
sq.m
c)
100.5 sq.m
d)
155.5 sq.m
24. Find the area swept
by a car wiper sweeping through an angle of 120°. The length of blade of car
wiper is 21 cm.
a) 462
sq.m
b) 642
sq.m
c) 744
sq.m
d) 544
sq.m
25. Find the area of shaded portion shown in fig
below.
a) 21.5
sq.m
b) 22.5
sq.m
c) 23.7
sq.m
d) 24.7
sq.m
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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15# Students are welcome to discuss online, the above mention MCQs.The discussion is free for all,appearing in XI/Dip.Engg. Entrance -2018
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