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.
PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is
- \(a^2 + (a + 2)^2 = (2b)^2\)
- \(b^2 = a + 4\)
- \(2a^2 + 1 = b^2\)
- \(b^2 = a + 1\)
View Solution
2.
An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals
- \(1 : 8\)
- \(1 : 2\)
- \(1 : 1\)
- \(2 : 1\)
View Solution
3.
For any natural number n, \( 5^n \) ends with the digit :
- 0
- 5
- 3
- 2
View Solution
4.
Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).
- 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 Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
5.
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is
- \(2\pi r^3\)
- \(3\pi r^3\)
- \(5\pi r^3\)
- \(4\pi r^3\)
View Solution
6.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is
- \(4 \text{ cm}\)
- \(4\sqrt{2} \text{ cm}\)
- \(8 \text{ cm}\)
- \(2\sqrt{2} \text{ cm}\)
View Solution

View All

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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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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.
PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

2.
An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

3.
For any natural number n, \( 5^n \) ends with the digit :

4.
Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).

5.
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

6.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

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.PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

2.An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

3.For any natural number n, \( 5^n \) ends with the digit :

4.Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5. Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).

5.Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

6.If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

2.
An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

3.
For any natural number n, \( 5^n \) ends with the digit :

4.
Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).

5.
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

6.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is