Areas Related to Circles MCQs:
Hello guys, welcome to your own blog 'Pareeksha Time'. In this article, you will read CBSE Class 10 Maths MCQs of Chapter 12 Class 10 Maths NCERT.. You will read Areas Related to Circles MCQs for Term-1 Board Exams 2021-22.
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Areas Related to Circles MCQs |MCQ Questions for Class 10 Maths Chapter 12 with Answers:-
1. In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. The length of the arc is:
(a) 20cm
(b) 21cm
(c) 22cm
(d) 25cm
Answer: (c) 22cm
2. If the sum of the circumferences of two circles with radii R1 and R2 is equal to circumference of a circle of radius R, then:
(a) R1 + R2 = R
(b) R1 + R2 > R
(c) R1 + R2 < R
(d) Can’t be determined
Answer: (a) R1 + R2 = R
3. The difference between circumference and diameter of a ring is 10 cm. Find the radius of the ring:
(a) 3.07 cm
(b) 0.37 cm
(c) 2.33 cm
(d) 4.57 cm
Answer: (c) 2.33 cm
4. 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.
Answer: (b) Area of the circle > Area of the square
5. Find the radius of the circle if the area of the circle is 22 cm:
(a) 1521.14 m
(b) 1511.14 m
(c) 1021.14 m
(d) 1520.14 m
Answer: (a) 1521.14 m
6. If a square with side ‘a’ is inserted within a circle such that the corners coincide with the circumference of the circle with diameter ‘d’. Find the relation between ‘a’ and ‘d’.
(a) a = `\frac d{\sqrt2}`
(b) a= `\frac d2`
(c) a=2d
(d) a=d
Answer: (a) a = `\frac d{\sqrt2}`
7. 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
(b) 42 cm
(c) 28 cm
(d) 16 cm
Answer: (c) 28 cm
8. If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is
(a) 4 units
(b) 6 units
(c) 8 units
(d) 2 units
(b) 6 units
(c) 8 units
(d) 2 units
Answer: (c) 8 units
9. If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius 2r, then:
(a) The angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle.
(b) The angle of the corresponding sector of the first circle is equal the angle of the corresponding sector of the other circle.
(c) The angle of the corresponding sector of the first circle is half the angle of the corresponding sector of the other circle.
(d) The angle of the corresponding sector of the first circle is 4 times the angle of the corresponding sector of the other circle.
Answer: (a) The angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle.
10. Find the radius of a circle if 2 m is the area of the circle:
(a) √0.83 m
(b) 5 m
(c) √0.63 m
(d) √38 m
Answer: (c) √0.63 m
11. The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is:
(a) 153.9 cm2
(b) 102.6 cm2
(c) 51.3 cm2
(d) 205.2 cm2
Answer: (c) 51.3 cm2
12. What is the name of the sector with a smaller area?
(a) Small
(b) Narrow
(c) Minor
(d) Tiny
Answer: (c) Minor
13. The wheel of a motorcycle is of radius 35 cm. The number of revolutions per minute must the wheel make so as to keep a speed of 66 km/hr will be:
(a) 50
(b) 100
(c) 500
(d) 1000
Answer: (c) 500
14. A wire is bent to form a circle of radius 7 cm. From the resulting shape, a chunk of the wire is cut off, and the wire cut off measures 4 cm in length. The length of the remaining wire is:
(a) 45cm
(b) 50cm
(c) 40cm
(d) 42cm
Answer: (c) 40cm
15. The area of the shaded region in Fig., where arcs drawn with centres P, Q, Rand S intersect in pairs at mid-points A, B, C and D of the sides PQ, QR, RS and SP, respectively of a square PQRS, is:
(a) 25.25 cm2
(b) 27.45 cm2
(c) 29.65 cm2
(d) 30.96 cm2
(b) 27.45 cm2
(c) 29.65 cm2
(d) 30.96 cm2
Answer: (d) 30.96 cm2
16. A race track is in the form of a circular ring whose outer and inner circumferences are 396 m and 352 m respectively. The width of the track is:
(a) 63 m
(b) 56 m
(c) 7 m
(d) 3.5 m
Answer: (c) 7 m
17. If the circumferences of two circles are in the ratio 4 : 9, then the ratio in their area is:
(a) 9 : 4
(b) 4 : 9
(c) 2 : 3
(d) 16 : 81
Answer: (d) 16 : 81
18. Number of sectors in a circle are:
(a) 2
(b) 3
(c) 4
(d) 1
Answer: (a) 2
19. If the circumference of a circle is 352 metres, then its area in square metres is:
(a) 5986 m
(b) 6589 m
(c) 7952 m
(d) 9856 m
Answer: (d) 9856 m
20. A horse is grazing in a field. It is tied to a pole with a rope of length 6 m. The horse moves from point A to point B making an arch with an angle of 70°. Find the area of the sector grazed by the horse:
(a) 20.99 m
(b) 21.99 m
(c) 22.99 m
(d) 23.99 m
(b) 21.99 m
(c) 22.99 m
(d) 23.99 m
Answer: (b) 21.99 m
21. Area of the shaded portion in the following figure is equal to:
(a) Area of sector OADBO – Area of segment ADBA
(b) Area of segment AEBA
(c) Area of segment ADBA
(d) Area of segments ADBA and AEBA
(b) Area of segment AEBA
(c) Area of segment ADBA
(d) Area of segments ADBA and AEBA
Answer: (d) Area of segments ADBA and AEBA
22. 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
Answer: (a) 1 : 2
23. 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
Answer: (a) 10 m
24. A circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is:
(a) 30 cm
(b) 60 cm
(c) 70 cm
(d) 80 cm
Answer: (b) 60 cm
25. Find the area of the sector if the radius is 12 cm and with an angle of 134°:
(a) 158.38 cm
(b) 168.00 cm
(c) 167.38 cm
(d) 168.38 cm
Answer: (d) 168.38 cm
26. If the perimeter of the circle and square are equal, then the ratio of their areas will be equal to:
(a) 14:11
(b) 22:7
(c) 7:22
(d) 11:14
Answer: (a) 14:11
27. A man goes to a walking track twice a day in the shape of a sector with an angle of 123° and a radius of 138 m. Find the area covered by the man of the walking track in a day.
(a) 20441.4 m
(b) 20882.8 m
(c) 40882.8 m
(d) 81765.6 m
Answer: (c) 40882.8 m
28. The area of the circle that can be inscribed in a square of side 6 cm is:
(a) 36 π cm2
(b) 18 π cm2
(c) 12 π cm2
(d) 9 π cm2
Answer: (d) 9 π cm2
So guys here comes end. In this article, I shared 25+ Areas Related to Circles MCQs of CBSE Class 10 Maths MCQs 2021-22.
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