Question

Line segment joining the centre to any point on the circle is a radius of the circle.
A circle has only finite number of equal chords.
i) If a circle is divided into three equal arcs, each is a major arc.
-) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Sector is the region between the chord and its corresponding arc.
) A circle is a plane figure.​

Answer 1

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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.

Answer:-True.As 'radius' is used into senses- in the sense of a line segment and also in the sense of a length.

(ii) a circle has only infinite number of equal chords.

Answer:-False. As an infinite number of points lie on the circle so we get infinite number of chord on joining any two points.

(iii) If a circle is divided into three equal arcs each is a major arc.

Answer:-False. Since this arcs are equal in length so they are called equal arc.

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

Answer:-True. As diameter is the longest chord and its length is twice the radius of the circle.

(v) Sector is the region between the chord and its corresponding arc.

Answer:-False.As the region between an Arc and the two radius, joining the centre to end points of the arc is known as a sector.

(vi) A circle is a plane figure.

Answer:-True. Since a circle is the focus of a point which moves in a plane in such a way that its distance from a given fixed point in the plane is always constant.So,a circle in a plane.