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 and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.
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2.
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.
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3.
In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
(i) Name the quadrilateral MQBN. (1)
(ii) Is MN parallel to PA? Justify your answer. (1)
(iii) Find length TB. (1)
(iv) Find length MN. (2)
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4.
If the median of the following distribution is 32.5, then find the values of x and y.
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5.
Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).
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6.
Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.
View Solution

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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 and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.

2.
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.

4.
If the median of the following distribution is 32.5, then find the values of x and y.

5.
Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

6.
Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.

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 and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.

2.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.

4.If the median of the following distribution is 32.5, then find the values of x and y.

5.Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

6.Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.

2.
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.

4.
If the median of the following distribution is 32.5, then find the values of x and y.

5.
Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

6.
Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.