**NCERT Solutions for Class 9
Maths Chapter 10 Circles Ex 10.1**

NCERT Solutions for Class
9 Maths Chapter 10 Circles Ex 10.1 are the part
of NCERT Solutions for Class 9 Maths. Here you can find the NCERT Solutions for
Chapter 10 Circles Ex 10.1.

**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 [∵ 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]

**NCERT Solutions for Maths Class 10**