**Download NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.1 – Circles**

**1. Fill in the blanks:**

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

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

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

(iv) An arc is a __ semi-circle __ when its ends are the ends of a diameter.

(v) Segment of a circle is the region between an arc and __ chord __ of the circle.

(vi) A circle divides the plane, on which it lies, in __ three __ parts.

**2. 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. **

Answer : True.

Reason : All the points on the circle are at equal distances from the centre of the circle, and this equal distance is called as radius of the circle.

**(ii) A circle has only finite number of equal chords.**

Answer : False.

Reason : There are infinite points on a circle. So, we can draw infinite number of chords of given length. Which implies, a circle has infinite number of equal chords.

**(iii) If a circle is divided into three equal arcs, each is a major arc. **

Answer : False.

Reason : When the circle is divided into three equal arcs, each arc will subtend an angle of 120° at center. But, a major arc will subtend an angle greater than 180° .

**(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. **

Answer : True.

Reason : Let AB be a chord which is twice as long as its radius.

It can be observed that in this situation, our chord will be passing through the centre of the circle. So, it will be the diameter of the circle.

**(v) Sector is the region between the chord and its corresponding arc. **

Answer : False.

Reason : Sector is the region between an arc and two radii joining the centre to the end points of the arc, not the region between chord and its corresponding arc.

** (vi) A circle is a plane figure.**

Answer : True.

Reason : A circle is a two-dimensional figure and it can also be referred to as a plane figure.

**Download NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.1 – Circles**

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