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**Question 1. 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. Solution:** (i) interior

(ii) exterior

(iii) diameter

(iv) semicircle

(v) the chord

(vi) three

**(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.**

**Solution: **(i) True [âˆµ All points on the circle are equidistant from the centre]

(ii) False [âˆµ A circle can have an infinite number of equal chords.]

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

(iv) True [âˆµ Diameter = 2 x Radius]

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

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

**ANGLE SUBTENDED BY A CHORD AT A POINT**

**REMEMBER**

- Equal chords of a circle subtend equal angles at the centre.
- If two chords of a circle subtend equal angles at the centre, then the chords are equal.

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