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

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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.
Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]
View Solution
2.
The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has
- unique solution
- two solutions
- no solution
- infinite number of solutions
View Solution
3.
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is
- $60^\circ$
- $45^\circ$
- $30^\circ$
- $90^\circ$
View Solution
4.
Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is
- 8 cm
- $4\sqrt{5}$ cm
- $2\sqrt{5}$ cm
- 12 cm
View Solution
5.
The given figure shows a circle with centre O and radius 4 cm circumscribed by $\triangle ABC$. BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.
View Solution
6.
The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.
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

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Relation Between HCF and LCM: Definition, Methods and Formulas

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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.
Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]

2.
The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

3.
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

4.
Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

5.
The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.

6.
The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.

Similar Mathematics Concepts

Comments

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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.Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]

2.The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

3.A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

4.Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

5.The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.

6.The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]

2.
The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

3.
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

4.
Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

5.
The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.

6.
The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.