NCERT Solutions For Class 6 Maths, Chapter 4, Basic Geometrical Ideas, Exercise 4.6 is all about study of circle which involves knowledge of centre, radii, diameter of circle, a chord, a sector and segment. Exercise 4.6 class 6 maths, chapter 4 has total four questions.

NCERT Solutions For Class 6 Maths, Chapter 4, Basic Geometrical Ideas, Exercise 4.6

Q.1. From the figure, identify :

(a) The centre of circle

(b) Three radii

(c) A diameter

(d) A chord

(e) Two points in the interior

(f) A point in the exterior

(g) A sector

(h) A segment

Ans:(a) The centre of circle is O.

(b) Three radii are OA, OB and OC.

(c) A diameter is AC.

(d) A chord is ED.

(e) Two points in the interior are O and P.

(f) A point in the exterior is Q.

(g) A sector is AOB.

(h) A segment is ED.

Q.2. (a) Is every diameter of a circle also a chord?

(b) Is every chord of a circle also a diameter?

Ans: (a) Yes, every diameter of a circle is also a chord.

(b) No, every chord of a circle is not a diameter.

Q.3. Draw any circle and mark

(a) Its centre

(b) A radius

(c) A diameter

(d) A sector

(e) A segment

(f) A point in its interior

(g) A point in its exterior

(h) An arc

Ans: (a) The centre of the circle is O.

(b) The radius is OC.

(c) A diameter is AC.

(d) A sector is AOB.

(e) A segment is XY.

(f) A point in its interior is O.

(g) A point in its exterior is P.

(h) An arc is $\overset\frown{XY}$.

Q.4. Say true or false:

(a) Two diameters of a circle will necessarily intersect.

(b) The centre of a circle is always in its interior.

Ans: (a) True, two diameters will always intersect each other at the centre of the circle.

(b) True, the centre of the circle will always be in its interior.