Write true or false: Give reasons for your answers.
(1) Line segment joining the centre to any point on the circle is a radius of the circle.
(2) A circle has only finite number of equal chords.
(3) If a circle is divided into three equal arcs, each is a major arc.
(4) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
(5) Sector is the region between the chord and its corresponding arc.
(6) A circle is a plane figure.

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Solution

(i) True : Radius is the length of line segment from centre to any point on circumference of circle.

(ii) False : We can draw infinite number of chord by joining any two points on circle since infinite number of points lie on the circle,.

(iii) False : These arcs are called equal arc since these arcs are equal in length.

(iv) True : Diameter is twice the radius of the circle and it is the longest chord.

(v) False : Sector is the region between an arc and the two radii.

(vi) True : Circle lies in a plane since a circle is the locus of a point in a plane which moves in such a way that its distance from a given fixed point is always constant.

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Similar questions

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 $180^{o}$ .

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