**Circles**

**Question 1.Fill in the blanks.**

**(i) The centre of a circle lies in ___ of the circle. (exterior/interior)**

**(ii) A point, whose distance from the centre of a circle is greater than its radius lies in ____ of the circle, (exterior/interior)**

**(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

**Question 2.Write True or False. Give reason 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.**

**(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 **[∵ All points on the circle are equidistant from the centre]

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

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

(iv) **True **[ ∵ Diameter = 2 x Radius]

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

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