# 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.

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To do:

We have to state whether the given statements are true or false.

Solution:

(i)  We know that,

A line segment joining the centre to any point on the circle is a radius of the circle.

Therefore,

The given statement is true.

(ii)  We know that,

A circle has infinite number of equal chords.

Therefore,

The given statement is false.

(iii)  We know that,

If a circle is divided into three equal arcs each is a major arc because each arc measures equal.

Therefore,

The given statement is true.

(iv)  We know that,

The diameter is defined as twice the length of the radius of a circle.

Therefore,

The given statement is true.

(v)  We know that,

A sector of a circle is defined as the portion of a circle that is enclosed between its two radii and the arc adjoining them.

Therefore,

The given statement is true.

(vi)  We know that,

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Therefore,

The given statement is true.

Updated on 10-Oct-2022 13:46:31