CBSE Class 10 Mathematics Chapter 12 Areas Related to Circles Multiple Choice Questions with Answers. MCQ Class 10 Maths Areas Related to Circles with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Areas Related to Circles MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 6
Question 1:
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
Correct Answer – (A)
Question 2 :
If 7i is taken as 227, the distance (in metres) covered by a wheel of diameter 35 cm, in one revolution, is
(a) 2.2
(b) 1.1
(c) 9.625
(d) 96.25
Correct Answer – (B)
Distance covered by a wheel in one
revolution = 2 πr = 2 × 22/7 × 35/2
= 110 cm = 1.1 m
Question 3 :
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
(a) 77
(b) 154
(c) 44
(d) 22
Correct Answer – (A)
Area of shaded region = area of sector with angle
(60° + 80° + 40°) = (180∘/360∘) × 22/7×7×7
= 77 cm²
Question 4 :
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.
Correct Answer – (B)
2πr = C C
⇒ r = C2π
Perimeter of a square = C
⇒ 4a = C
⇒ a = C4
Question 5 :
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
Correct Answer – (C)
Radius of the wheel = 1.26/2 = 0.63 m
Distance travelled in one revolution
= 2πr = 2 × 22/7 × 0.63
= 3.96 m
∴ Distance travelled in 500 revolutions
= 500 × 3.96
= 1980 m.
Question 6 :
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
Correct Answer – (D)
Question 7 :
If the difference between the and the radius of of a circle is 37 cm, then 22 using π = 22/7 the circumference (in cm) of the circle is:
(a) 154
(b) 44
(c) 14
(d) 7
Correct Answer – (B)
Question 8 :
Area of the largest triangle that can be inscribed in a semi-circle of radius r units is
(a) r2 sq. units
(a) (r2)/2 sq. units
(a) 2r2 sq. units
(a) √2r2 sq. units
Correct Answer – (A)
Question 9 :
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.
Correct Answer – (A)
⇒ R1 + R2 = R.
Question 10 :
If the circumference of a circle is 352 metres, then its area in square metres is
(a) 5986
(b) 6589
(c) 7952
(d) 9856
