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
Class 9 Maths Chapter 10 Circles – वृत Solutions
Hindi Medium and English Medium Solutions
- Class 9 Maths Chapter 10 Exercise 10.1 Solutions
- Class 9 Maths Chapter 10 Exercise 10.2 Solutions
- Class 9 Maths Chapter 10 Exercise 10.3 Solutions
- Class 9 Maths Chapter 10 Exercise 10.4 Solutions
- Class 9 Maths Chapter 10 Exercise 10.5 Solutions
- Class 9 Maths Chapter 1 Exercise 10.6 Solutions
- NCERT Books for Class 9 All Subjects
- NCERT Exemplar Problems Solutions
- Study Material for 2018-2019 – English Medium
- Study Material for 2018-2019 – Hindi Medium
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.