CHORD OF A CIRCLE A line segment joining any two point on a circle is called a chord of the circle.

Chord of a circle a line segment with its end- points lying on a circle is called the chord of the circle.

If we join any two points of a circle by a line segment, we obtain a………..of the circle.

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. (ii) A circle has only finite number of equal chords. (iii) If a circle is divided into three equal arcs, each is a major arc. (iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. (v) Sector is the region between the chord and its corresponding arc. (vi) A circle is a plane figure.

Take two points A and C on the circle, them the line segment joining the point A and C is called a ………... of the circle.

Write the truth value (T/F) of the following with suitable reasons: A circle is a plane figure. Line segment joining the centre to any point on the circle is a radius of the circle. If a circle is divided into three equal arcs each is a major arc. A circle has only finite number of equal chords. A chord of a circle, which is twice as long is its radius is a diameter of the circle. Sector is the region between the chord and its corresponding arc. The degree measure of an arc is the complement of the central angle containing the arc. The degree measure of a semi-circle is 180^0

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

If the two equal chords of a circle intersect : (i) inside (ii) on (iii) outside the circle, then show that the line segment joining the point of intersection to the centre of the circle will bisect the angle between the chords.

The region enclosed by an arc and a chord of a circle is called .............. of the circle.