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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`

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The correct Answer is:
TRUE
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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.

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.

Equal chords of a circle are equidistant from circle.

A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is

The line joining the centre of a circle to the midpoint of a chord is perpendicular to the chord.