Class 10 Maths MCQs Chapter 12 Areas Related to Circles
Circle Multiple Choice Question 1. The area of the circle is 154 cm2. The radius of the circle is
(a) 7 cm
(b) 14 cm
(c) 3.5 cm
d) 17.5 cm
Answer/ Explanation
2. If angle of sector is 60°, radius is 3.5 cm then length of the arc is
(a) 3 cm
(b) 3.5 cm
(c) 3.66 cm
(d) 3.8 cm
Answer/ Explanation
Areas Related To Circles MCQs Question 3. The area of a quadrant of a circle whose circumference is 22 cm, is
Answer/ Explanation
4. If 0 is the angle in degrees of a sector of a circle of radius V, then area of the sector is
Answer
5. A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze, is
(a) 77 cm²
(b)
(c) 154 cm²
(d)
Answer/ Explanation
6. The area of the circle whose diameter is 21 cm is
(a) 346.5 cm²
(b) 37.68 cm²
(c) 18.84 cm²
(d) 19.84 cm²
Answer/ Explanation
7. The area of the sector of a circle with radius 6 cm and of angle 60° is
(a) 9.42 cm²
(b) 37.68 cm²
(c) 18.84 cm²
(d) 19.84 cm²
Answer/ Explanation
8. The area of a circle whose circumference is 22 cm, is
(a) 11 cm²
(b) 38.5 cm²
(c) 22 cm²
(d) 77 cm²
Answer/ Explanation
9. The area of a circle is 154 cm2. Its diameter is
(a) 7 cm
(b) 14 cm
(c) 21 cm
(d) 28 cm
Answer/ Explanation
10. 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/ Explanation
MCQ Questions For Class 10 Maths Areas Related To Circles Question 11. 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
Answer/ Explanation
12. The area of the circle that can be inscribed in a square of side 6 cm, is
(a) 18π cm²
(b) 12π cm²
(c) 9π cm²
(d) 14π cm²
Answer/ Explanation
13. 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 [Delhi 2011]
(a) 5
(b) 7
(c) 10
(d) 14
Answer/ Explanation
MCQ on Area Related To Circles Class 10 Question 14. The perimeter (in cm) of a square circumscribing a circle of radius a cm, is [AI2011]
(a) 8 a
(b) 4 a
(c) 2 a
(d) 16 a
Answer/ Explanation
15. 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
Answer/ Explanation
16. If the circumference of a circle is 352 metres, then its area in square metres is
(a) 5986
(b) 6589
(c) 7952
(d) 9856
Answer/ Explanation
Area Related To Circle Class 10 MCQ Question 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
Answer/ Explanation
18. If the sum of the circumferences of two circles with radii Rj and R2 is equal to the circumference of a circle of radius R, then [NCERT Exemplar Problems]
(a) R1 + R2 = R
(b) R1 + R2 > R
(C) R1 + R2 < R
(d) nothing definite can be said about the relation among Rp1, R2 and R.
Answer/ Explanation
19. If the circumference of a circle and the perimeter of a square are equal, then [NCERT Exemplar Problems]
(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/ Explanation
MCQ on Area Related To Circles Question 20. Area of the largest triangle that can be inscribed in a semi-circle of radius r units is [NCERT Exemplar Problems]
(a) r² sq. units
(b)
(c) 2 r² sq. units
(d) √2 r² sq. units
Answer/ Explanation
21. Match the columns
(a) 1 → A, 2 → C, 3 → D, 4 → E
(b) 1 → B, 2 → C, 3 → F, 4 → E
(c) 1 → D, 2 → B, 3 → A, 4 → F
(d) 1 → D, 2 → B, 3 → E, 4 → F
Answer/ Explanation
22. In the given figure, three sectors of a circle of radius 7 cm, making angles of 60°, 80° and 40° at the centre are shaded. The area of the shaded region (in cm2) is [Using π = 
(a) 77
(b) 154
(c) 44
(d) 22
Answer/ Explanation
Areas Related To Circles Question 23. If the difference between the and the radius of of a circle is 37 cm, then 22 using π =
(a) 154
(b) 44
(c) 14
(d) 7
Answer/ Explanation
24. If 7i is taken as
(a) 2.2
(b) 1.1
(c) 9.625
(d) 96.25
Answer/ Explanation
Circle MCQ Pdf Question 25. 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/ Explanation
26. 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/ Explanation
27. 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/ Explanation
28. Match the columns.
(a) 1 → B, 2 → C, 3 → D, E → 4
(b) 1 → B, 2 → D, 3 → C, E → 4
(c) 1 → A, 2 → C, 3 → D, E → 4
(d) 1 → B, 2 → C, 3 → D, E → 4
Answer/ Explanation
29. ABC is an equilateral triangle. The area of the shaded region if the radius of each of the circle is 1 cm, is
Answer/ Explanation
30. ABCDEF is any hexagon with different vertices A, B, C, D, E and F as the centres of circles with same radius r are drawn. The area of the shaded portion is
(a) πr²
(b) 2πr²
(c) 3πr²
(d) 4πr²
Answer/ Explanation
31. In the figure, PQRS is a square and O is centre of the circle. If RS = 10 √2, then area of shaded region is
(a) 90 π – 90
(b) 80 π – 80
(c) 50 π-100
(d) 100 π – 100
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