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Class 9 Maths NCERT Solutions – Chapter 11 – Circles | Takshilalearning

Class 9 Maths NCERT Solutions - Chapter 11 - Circles Takshilalearning, Maths NCERT Solutions Class 9, Class 9 Maths, NCERT Solutions for Class 9 Maths

Maths NCERT Solutions Class 9 – Chapter 11 – Circle – Part 1

Class 9 Maths Circle – A circle is the locus of a point which moves in a plane in such a way that its distance from a given fixed point is always constant.

Class 9 Maths NCERT Solutions - Chapter 11 - Circles Takshilalearning, Maths NCERT Solutions Class 9, Class 9 Maths, NCERT Solutions for Class 9 Maths

The permanent tip is called the centre and the stable distance is called the radius of the circle.

A circle with centre O and radius r is denoted by C (O,r).

For video lectures of Class 9 Maths and NCERT solutions click CBSE Class 9th Maths

Terms Related to a Circle

Radius : A Line segment joining the centre and a point on the circle is called its radius.

Class 9 Maths NCERT Solutions - Chapter 11 - Circles Takshilalearning, Maths NCERT Solutions Class 9, Class 9 Maths, NCERT Solutions for Class 9 Maths

The Plural of Radius is radii.

In the given figure, OA and OB are radii of circle C (O, r)

Circumference : The perimeter of a circle is called its circumference.

Circumference = 2πr.

Chord-A chord of a circle is a line segment joining any two points on the circle.

In the given figure, PQ, RS, and AOB are the chords of a circle with centre O.

Class 9 Maths NCERT Solutions - Chapter 11 - Circles Takshilalearning, Maths NCERT Solutions Class 9, Class 9 Maths, NCERT Solutions for Class 9 Maths

Diameter-A diameter is a chord of a circle passing through the centre of the circle.

Hence AOB is a diameter of a circle with O.

A diameter is the longest chord of a circle.

Diameter=2*radius

Secant-A line which intersects a circle in two distinct points is called a scent of the circle.

In the given figure, the line l cuts the circle in two points A and B. So l is a secant of the circle.

Class 9 Maths NCERT Solutions - Chapter 11 - Circles Takshilalearning, Maths NCERT Solutions Class 9, Class 9 Maths, NCERT Solutions for Class 9 Maths

 

Tangent-A line that intersects the circle in exactly one point is called a tangent to the circle. The point at which the tangent meets the circle is called its point of contact.

Clear your doubts with experts, click 9th Class Maths for details.

Position of a point with respect to a circle

A point P is said to lie

  • Inside the circle C (O,r), if OP<r
  • On the circle C(O,r)if OP=r
  • Outside the circle C(O,r)if OP>r

Class 9 Maths NCERT Solutions - Chapter 11 - Circles Takshilalearning, Maths NCERT Solutions Class 9, Class 9 Maths, NCERT Solutions for Class 9 Maths

Interior of a circle-The region consisting of all points lying on the circumference of a circle and inside it is called interior of a circle. A point P lies in the interior of a circle C (O,r) if OP<=r.

The exterior of a circle-The region consisting of all points lying outside a circle is called exterior of a circle. A point P lies in the exterior of a circle C (O,r) if OP>r.

The circular region-The region consisting of all points which are either on the circle or lie inside the circle is called the circular region or circular disc.

Maths NCERT solutions Class 9 designed by experts are available.

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