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**Circle For Class 9th **

**Q1. ****Fill in the blanks:**

(i) The centre of a circle lies in________of the circle.

(ii) A point, whose distance from the centre of a circle is greater than its radius lies in________of the circle.

(iii) The longest chord of a circle is a________of the circle.

(iv) An arc is a________when its ends are the ends of a diameter.

(v) Segment of a circle is the region between an arc and________ of the circle.

(vi) A circle divides the plane, on which it lies, in________parts.

**Ans:** (i) interior (ii) exterior (iii) diameter (v) the chord (vi) three

** Q2. ****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 an only a 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.

**Ans :**

(i) True [∵ All points on the circle are equidistant from the centre]

(ii) False [∵ A circle can have an in¦nite number of equal chords.]

(iii) False [∵ Each part will be less than a semicircle.]

(iv) True [∵ Diameter = 2 × Radius]

(v) False [∵ The region between the chord and its corresponding arc is a segment.]

(vi) True [∵ A circle is drawn on a plane.]

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