NCERT Solutions for Class 9 Maths Chapter 10 Circles – वृत in PDF form to free download. **NCERT Solutions** of other subjects are also available free to use or download. Solutions are prepared for CBSE & UP Board students appearing in 2018-19 CBSE Exams.

## NCERT Solutions for Class 9 Maths Chapter 10

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### Class 9 Maths Chapter 10 Circles – वृत Solutions

#### Hindi Medium and English Medium Solutions

- Class 9 Maths Chapter 10 Exercise 10.1 Solutions
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- Class 9 Maths Chapter 10 Exercise 10.2 Solutions
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- Class 9 Maths Chapter 10 Exercise 10.3 Solutions
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- Class 9 Maths Chapter 10 Exercise 10.4 Solutions
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- Class 9 Maths Chapter 10 Exercise 10.5 Solutions
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- Class 9 Maths Chapter 1 Exercise 10.6 Solutions
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##### Important Terms and Theorems on Circles – वृत

*Circle*: A circle is the collection of all points in a plane, which are at a fixed distance from a fixed point in the plane.*Diameter*: It is the longest chord of the circle.*Circumference*: The length of complete circle is called its circumference.*Arc*: A piece of circle between two point is called arc.*Segment*: The region between a chord and either of its arcs is called a segment of circular region.

- Properties related to CIRCLE
- Equal chords of a circle subtend equal angles at the centre.
- If the angles subtended by two chords of a circle at the centre are equal, the chords are also equal.
- The perpendicular from the centre of a circle to a chord bisects the chord.
- The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.
- There is one and only one circle passing through three non-collinear points.

- Equal chords of a circle are equidistant from the centre and cords equidistant from the centre of a circle are equal.
- If two arcs of a circle are congruent, then their corresponding chords are equal and conversely if two chords of a circle are equal, then their corresponding arcs are congruent.
- Congruent arcs of a circle subtend equal angles at the centre.
- The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
- Angles in the same segment of a circle are equal.
- Angle in a semi-circle is a right angle.
- The sum of either pair of opposite angles of a cyclic quadrilateral is 180 and if the sum of a pair of opposite angles of a quadrilateral is 180, then the quadrilateral is cyclic.