Question

Write the truth value (T/F) of the following with suitable reasons :

(i) A circle is a plane figure.

(ii) Line segment joining the centre to any point on the circle is a radius of the circle.

(iii) If a circle is divided into three equal ares each is a major are.

(iv) A circle has only finite number of equal chords.

(v) A chord of a cirlce, which is twice as long is its radius is a diameter of the circle.

(vi) Sector is the region between the chord and its corresponding are.

(vii) The degree measure of an are is the complement of the central angelcontaining the are.

(viii) The degree measure of a semi-circle is ${180}^o$.

Answer 1

(i) True

(ii) True.

(iii) True.

(iv) False. As it has infinite number of equal chords.

(v) True.

(vi) False. It is a segment not sector.

(vii) False. As total degree measure of a circle is ${360}^o$.

(viii) True.