**Chapter 10 Circles **

**Ex 10.1 Class 9
Maths 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

**Ex 10.1 Class 9
Maths 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.

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

**∵**

**A circle can have an infinite number of equal chords]**

(iii) False [

(iii) False [

**∵**

**Each part will be less than a semicircle]**

(iv) True [

(iv) True [

**∵**

**Diameter = 2 x Radius]**

(v) False [

(v) False [

**∵**

**The region between the chord and its corresponding arc is a segment]**

(vi) True [

(vi) True [

**∵**

**A circle is drawn on a plane]**

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