NCERT Solutions For Class 10 mathematics Chapter 12: Areas Related to Circles

Content Curator

NCERT Solutions for Class 10 Mathematics chapter 12 Areas Related to Circles are provided in this article. Some of the important topics in Areas related to circle chapter include:

Expected no of questions: 3 to 4 questions of total 6 to 7 marks

Download PDF: NCERT Solutions for Class Class 10 Mathematics Chapter 12 pdf

NCERT Solutions for Class 10 Mathematics Chapter 12

NCERT Solutions for Class 10 Mathematics Chapter 12 Areas Related to Circles is given below.

NCERT Solutions

Class 10 Mathematics Chapter 12 Areas Related to Circles – Important Topics

A circle is a simple geometrical figure surrounded by a curved line, which contains points separated by radius from a static point known as a centre. When a line and a circle are lying on the same plane and farther from each other, they do not intersect. But when the line comes in contact with the circle, it is tangent to the circle. That line intersects the two points of the curved line of the circle. The circle is a figure enclosed within a curved line which divides a plane into two regions: exterior and interior. A circle can also be understood as an ellipse where the two foci are concurrent and eccentricity is zero.

Circumference of circle: The perimeter of a circle is the distance covered by the boundary of a circle.

Segment of a circle: The segment is a region constrained by a chord of a circle and its arc.

Sector of a circle: A sector of a circle is clarified as the region of a circle enclosed by an arc and two radii.

Angle of a sector: The angle of the sector is the angle that is surrounded by the two radii of the sector.

Important formulas of this chapter include:

Length of Arc of a Sector L= (θ/360°)×2πr

Perimeter of a circle = 2πr

Area of a circle = πr²

NCERT Solutions for Class 10 Maths Chapter 12 Exercises

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Exercises is given below.

Chapter Related Articles:

Areas related to circle formula	Area of a sector	Sector of a circle
Area pf segment of a circle	Arc length	Diameter Formula
Central Angle of a circle	Radius Formula	Area of a quadrant

Maths Related Articles:

NCERT Solutions for Class 10 Mathematics	Important Maths Formulas	Maths Study material
Difference between in Maths	Algebra	Arithmetics
Geometry	Number System	Mensuration

CBSE X Related Questions

1.
Assertion (A) : H.C.F. $(36 m^{2}, 18 m) = 18 m$, where $m$ is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
2.
It is given that $\triangle ABC \sim \triangle EDF$. Which of the following is not true?
- $\frac{\text{Perimeter of } \triangle ABC}{\text{Perimeter of } \triangle EDF} = \frac{AB}{ED}$
- $\frac{AB}{ED} = \frac{AC}{EF}$
- $\angle A = \angle D, \angle C = \angle F$
- $\frac{AB + BC}{AC} = \frac{ED + DF}{EF}$
View Solution
3.
In the given figure, $PQ$ is tangent to the circle with centre $O$. $S$ is a point on the circle such that $\angle SQT = 55^\circ$. The $m\angle QPS$ is
- $55^\circ$
- $20^\circ$
- $35^\circ$
- $70^\circ$
View Solution
4.
If roots of the quadratic equation $x^2 - k\sqrt{3}x + 2 = 0$ are real and equal, then value of k is
- $-2$
- $\sqrt{\frac{8}{3}}$
- $1$
- $2$
View Solution
5.
The value of k for which sum of the zeroes of the polynomial $p(x) = 3x^2 - kx + 6$ is 2, is
- 2
- $-6$
- $-2$
- 6
View Solution
6.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are
- $(x + 2), (x - 5)$
- $(x + 5), (x - 2)$
- $(x + 1), (x - 5)$
- $(x - 1), (x + 2)$
View Solution

View All

Similar Mathematics Concepts

Areas Related to Circles Revision Notes

Area and Perimeter: Definition, Formulas & Examples

MCQs on Areas Related to Circles

NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1

NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.2

NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.3

CBSE X Syllabus

Mathematics Preparation Guides

Arithmetic Progressions: Properties, Formulas and Solved Examples

Distance Formula and Derivation of Coordinate Geometry

Probability- A Theoretical Approach: An Overview and Examples

Area of Circle: Area Formula, Derivation with Solved Examples

Mode of Grouped Data

Pythagoras Theorem: Formula, Theorem, Proof and Examples

Nature of Roots of Quadratic Equation

Probability: Concepts, Problems and Solved Examples

Trigonometry: Ratios, Identities & Trigonometric Table

Heights and Distances: Applications in Trigonometry

Real Numbers: Euclid’s Division Lemma, Properties & Sets

Surface Areas and Volumes Revision Notes

Circles: Definition, Properties, Parts, Theorems

Constructions Revision Notes

Pair of Linear Equations In Two Variables Important Questions

Circles Revision Notes: Theorems of Tangent to the Circle

Statistics Important Questions

Mathematics NCERT Solutions

Euclid's Division Lemma: Proof, Finding HCF & Examples

Area of a Sector: Definition, Formulae and Solved Examples

Real Numbers: Definition, Properties and Examples

Events in Probability: Definition, Types, Examples

Relation Between HCF and LCM: Definition, Methods and Formulas

Geometric Probability: Formula, Illustration, Model

Algebra Formula: Important Formulas in Algebra & Solved Examples

Angle of Depression: Definition, Formula and Solved Examples

Cyclic Quadrilateral: Properties, Theorems and Formulas

Polynomial Notation: Types, Remainder Theorem, Linear and Quadratic Equation

You can also check

NCERT Solutions For Class 10 mathematics Chapter 12: Areas Related to Circles

Download PDF: NCERT Solutions for Class Class 10 Mathematics Chapter 12 pdf

NCERT Solutions for Class 10 Mathematics Chapter 12

Class 10 Mathematics Chapter 12 Areas Related to Circles – Important Topics

NCERT Solutions for Class 10 Maths Chapter 12 Exercises

CBSE X Related Questions

1.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

2.
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

3.
In the given figure, $PQ$ is tangent to the circle with centre $O$. $S$ is a point on the circle such that $\angle SQT = 55^\circ$. The $m\angle QPS$ is

4.
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

5.
The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

6.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

NCERT Solutions For Class 10 mathematics Chapter 12: Areas Related to Circles

Download PDF: NCERT Solutions for Class Class 10 Mathematics Chapter 12 pdf

NCERT Solutions for Class 10 Mathematics Chapter 12

Class 10 Mathematics Chapter 12 Areas Related to Circles – Important Topics

NCERT Solutions for Class 10 Maths Chapter 12 Exercises

CBSE X Related Questions

1.Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number. Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

2.It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

3.In the given figure, $PQ$ is tangent to the circle with centre $O$. $S$ is a point on the circle such that $\angle SQT = 55^\circ$. The $m\angle QPS$ is

4.If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

5.The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

6.The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

2.
It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

3.
In the given figure, $PQ$ is tangent to the circle with centre $O$. $S$ is a point on the circle such that $\angle SQT = 55^\circ$. The $m\angle QPS$ is

4.
If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

5.
The value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

6.
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are