# Class 9 NCERT Solutions – Chapter 10 Circles – Exercise 10.1

**Question 1:** **Fill in the blanks**

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

Answer:Interior.

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

Answer:Exterior.

**(iii) The longest chord of a circle is a ______________ of the circle.**

Answer:Diameter.

**(iv) An arc is a _____________ when its ends are the ends of a diameter.**

Answer:Semicircle.

**(v) Segment of a circle is the region between an arc and _____________ of the circle.**

Answer:Chord.

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

Answer:Three.

**Problem 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, Any line segment drawn from the centre of the circle to any point on it is called raidus of the circle and will be of equal length.

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

Answer:False, There can be infinite number of equal chords in a circle.

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

Answer:False, When the arcs are not equal we will have major and minor arc, equal arcs cannot be classified as a major arc or a minor arc.

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

Answer:True, Diameter is the longest chord of the circle and the length of the longest chord in a circle is twice the length of radius of the circle.

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

Answer:False, Sector is defined as the region between the arc and 2 radii of the circle.

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

Answer:True, A circle is a 2D figure which can be drawn on a plane.