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`

Explanation

(i) Line segment joining the centre to any point on the circle is a radius of the circle. - `True`. Please refer to video to see the explanation with diagram.



(ii) A circle has only finite number of equal chords. - `False` as a circle can have any number of equal chords.


(iii) If a circle is divided into three equal arcs, each is a major arc.- `False`.Please refer to video to see the explanation with diagram.



(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. - `True` as diameter is the largest chord with length double to radius.



(v) Sector is the region between the chord and its corresponding arc. - `False` as the mentioned region i s called segment not sector.


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