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

MCQ | Areas Related to Circles Class 10 | Sat A

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 area of a circle whose circumference is 22 cm, is
	A. 11 cm²
	B. 38.5 cm²
	C. 22 cm²
	D. 77 cm²

Ans: 38.5 cm²

Q2.	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

Ans: 28 cm

Q3.	The area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm2, then its radius is
	A. 12 cm
	B. 16 cm
	C. 8 cm
	D. 10 cm

Ans: 8 cm

Q4.	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:
	A. 5
	B. 7
	C. 10
	D. 14

Ans: 10

Q5.	If the area of a circle is 154 cm², then its perimeter is
	A. 11cm
	B. 22 cm
	C. 44 cm
	D. 55 cm

Ans: 44 cm

Q6.	The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
	A. 8 a
	B. 4 a
	C. 2 a
	D. 16

Ans: 8 a

Q7.	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

Ans: 3.66 cm
Explaination: Reason: Here r = 3.5 cm = \(\frac{35}{10}\) = \(\frac{7}{2}\) cm θ = 60°
Length of arc = \(\frac{θ}{360}\) × 2πr = \(\frac{60}{360}\) × 2 × \(\frac{22}{7}\) = × \(\frac{7}{2}\) × \(\frac{1}{6}\) × 22 = \(\frac{11}{6\3}\) = 3.66 cm

Q8.	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

Ans: 346.5 cm²
Explaination: Reason: Here diameter = 21 cm
∴ Radius r = \(\frac{21}{2}\) cm
Area of the circle, A = πr²
∴ \(A=\frac{22}{7} \times \frac{21}{2} \times \frac{21}{2}=11 \times 3 \times \frac{21}{2}=\frac{693}{2}=346.5 \mathrm{cm}^{2}\)

Q9.	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

Ans: 18.84 cm²
Explaination: Reason: Here r = 6 cm, θ = 60°
Area of the sector = \(\frac{θ}{360}\)
∴ Area = \(\frac{60}{360}\) × 3.14 × 6 × 6 = \(\frac{1}{6}\) × 3.14 × 6 × 6 = 3.14 × 6 = 18.84 cm²

Q10.	The area of a circle is 154 cm2. Its diameter is
	A. 7 cm
	B. 14 cm
	C. 21 cm
	D. 28 cm

Ans: 14 cm
Explaination: Reason: Here area of the circle, A = 154 cm², Radius, r = ?
Area of the circle = 154 cm² …(Given)
∴ πr² = 154
⇒ \(\frac{22}{7}\) × r² = 154
⇒ r² = 154 × latex]\frac{7}{22}[/latex] = 7 × 7
⇒ r = 7 cm
∴ Diameter of the circle = 2 × r = 2 × 7 = 14 cm

Q11.	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

Ans: 51.3 cm²
Explaination: Reason: Angle swept by the minute hand in 1 minute = (360° ÷ 60) = 6°
∴ θ = 30°
∴ Angle swept by the minute hand in 5 minutes = 6° × 5 = 30°
Length of minute hand (r) = 14 cm
∴ Area swept = \(\frac{θ}{360}\)πr² = \(\frac{30}{360}\) × \(\frac{22}{7}\) × 14 × 14 = \(\frac{154}{3}\) = 51.3 cm²

Q12.	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

Ans: 28 cm
Explaination: Reason: Let the radii of two circles be r₁ and r₂ and the radius of large circle be r.
∴ r₁ = 19 cm, r₂ = 9 cm
Circumference of two circles = C₁+ C₂ …(where C = circle)
= 2πr₁ + 2πr₂ = 2π × 19 + 2π × 9 = 38π + 18π = 56π
∴ Circumference of large circle = 56π
⇒ 2πr = 56π
⇒ r = 28
∴ Radius of large circle = 28 cm

Q13.	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

Ans: 9π cm²
Explaination: Reason: Size of square = 6 cm, radius = \(\frac{6}{2}\) = 3 cm;
Area of the circle = πr² = π × 3 × 3 = 9π cm²

Q14.	The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
	A. 8 a
	B. 4 a
	C. 2 a
	D. 16 a

Ans: 8 a

Explaination:

Side of a square circumscribing a circle of radius a cm = diameter of circle = 2 a cm
∴ Perimeter of the square
= 4 × 2a = 8a cm

Q15.	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

Ans: 8 units

Explaination:

πr² = 2πr × 2
⇒ r = 4
⇒ 2r = 8 units

Q16.	The ratio of area of two circles whose ratio of circumference is 3:1 will be
	A. 3 : 1
	B. 1 : 3
	C. 1 : 9
	D. 9 : 1

Ans: 9 : 1

Q17.	The area of the square that can be inscribed in a circle of radius 12 cm is
	A. 288 sq. cm
	B. 576 sq. cm
	C. 144 sq.cm
	D. 500 sq. cm

Ans: 288 sq. cm

Q18.	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

Ans: 8 units

Q19.	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

Q20.	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

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 A

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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