Geomentry : Circles and Its related terms | Chord and Chord of a circle Theorems | CBSE class 9
00:02 CBSE solutions for class 9 maths circles Ex 10.1 Q1. Fill in the blanks:
(i) The centre of a circle lies in of the circle. (exterior/ interior)
00:29 Regions of Circle.(Exterior region and Interior region).
00:50 (ii) A point, whose distance from the centre of a circle is greater than its radius lies in of the circle. (exterior/ interior)
01:50 (iii) The longest chord of a circle is a of the circle.
01:59 Defination Diameter of a circle.
02:40 (iv) An arc is a when its ends are the ends of a diameter.
03:00 Defination of Semi-circle.
03:16 (v) Segment of a circle is the region between an arc and of the circle.
03:30 (vi) A circle divides the plane, on which it lies, in parts.
03:59 CBSE class 10 maths chapter 10 Circles Ex 10.1 Q2. Write True or False: Give reasons for your answers.
(i) Line segment joining the centre to any point on the circle is a radius of the circle.
04:30 (ii) A circle has only finite number of equal chords.
05:05 (iii) If a circle is divided into three equal arcs, each is a major arc.
05:10 Major Arc & Minor Arc
05:48 (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
05:59 Defination of Chord , Diameter .
06:10 (v) Sector is the region between the chord and its corresponding arc.
06:18 Defination of Sector , Segment.
06:55 (vi) A circle is a plane figure.
Angle Subtended by a Chord at a Point
07: 13 NCERT solutions for CBSE class 9 maths circles Q1. Recall that two circles are congruent if they have the same radii. Prove that equal
chords of congruent circles subtend equal angles at their centres.
09:04 By using S.S.S rule of Congruency
09:09 Apply CPCT (Corresponding Parts of Congruent Triangles)
09:34 NCERT Solutions for CBSE Class 9 Maths Chapter 10 Circles Q2. Prove that if chords of congruent circles subtend equal angles at their centres, then
the chords are equal.
11:11 Apply S.S.S rule of Congruency
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CBSE solutions for class 9 maths circles
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NCERT Solutions for CBSE Class 9 Maths Chapter 10 Circles
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