MCQ Questions | Class 10 Maths Chapter 12 | Areas Related to Circles with Answers

MCQ | Areas Related to Circles Class 10 | Sat B

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Areas Related to Circles Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	12
Chapters Name:	Areas Related to Circles
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Areas Related to Circles | Class 10 Maths | NCERT Solutions

Q1.	The distance covered by a circular wheel of diameter ‘d’ in 100 revolutions is
	A. 100π
	B. 100d
	C. πd
	D. 100πd

Ans: 100πd

Q2.	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. 1 : 22
	D. 11 : 14

Ans: 14 : 11

Q3.	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

Ans: 10 m

Q4.	The area of a sector of a circle with radius 21cm and sector angle 120∘ is
	A. 462 sq. cm
	B. 288 sq. cm
	C. 156 sq. cm
	D. 426 sq. cm

Ans: 462 sq. cm

Q5.	The area of the circle that can be inscribed in a square of side 10cm is
	A. 25 sq.cm
	B. 10π sq.cm
	C. 125π sq.cm
	D. 20π sq.cm

Ans: 125π sq.cm

Q6.	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

Ans: 198 m

Explaination:

Radius of the wheel = \(\frac{1.26}{2}\) = 0.63 m
Distance travelled in one revolution
= 2πr = 2 × \(\frac{22}{7}\) × 0.63
= 3.96 m
∴ Distance travelled in 500 revolutions
= 500 × 3.96
= 1980 m.

Q7.	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
	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.

Ans: R₁ + R₂ = R

Explaination:

2πR₁ + 2πR₂ = 2πR
⇒ R₁ + R₂ = R.

Q8.	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.

Ans: area of the circle > area of the square

Explaination:

Let circumference of a circle = C
2πr = C C
⇒ r = \(\frac{C}{2π}\)
Perimeter of a square = C
⇒ 4a = C
⇒ a = \(\frac{C}{4}\)

Q9.	If 7i is taken as \(\frac{22}{7}\), 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

Ans: 1.1

Explaination:

Distance covered by a wheel in one
revolution = 2 πr = 2 × \(\frac{22}{7}\) × \(\frac{35}{2}\)
= 110 cm = 1.1 m

Q10.	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

Ans: 1 : 2

Q11.	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

Ans: 6 cm

Q12.	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

Ans: 1980 m

Q13.	If ‘r’ is the radius of a circle, then its perimeter is given by
	A. πr
	B. 2πr
	C. 2πd
	D. none of these

Ans: 2πr

Q14.	The area of a circle is 2464 sq. cm, then its diameter is given by
	A. 7cm
	B. 14cm
	C. 28cm
	D. 56cm

Ans: 56cm

Q15.	The perimeter of a semicircular protractor whose radius is 7cm is
	A. 18cm
	B. 27cm
	C. 36cm
	D. 72cm

Ans: 36cm

Q16.	The circumference of a circle exceeds its diameter by 120cm, then its radius is
	A. 56cm
	B. 14cm
	C. 42cm
	D. 28cm

Ans: 28cm

Q17.	If the radius of a circle is increased by 100%, then its area is increased by
	A. 100%
	B. 300%
	C. 200%
	D. 400%

Ans: 300%

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 12

MCQ Questions | Class 10 Maths Chapter 12 | Areas Related to Circles with Answers

MCQ | Areas Related to Circles Class 10 | Sat B

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Areas Related to Circles | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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