# Class 6 Maths NCERT Solutions for Chapter 4 Basic Geometrical Ideas Ex – 4.6

## Basic Geometrical Ideas

Question 1.
From the figure, identify:

(a) the centre of circle
(c) a diameter
(d) a chord
(e) two points in the interior
(f) a point in the exterior
(g) a sector
(h) a segment Solution:
(a)
O is the centre of the circle.
(b) OA, OB and OC are three radii of circle.
(c) AC is a diameter of circle.
(d) ED is a chord of circle.
(e) Points O and P are in the interior of circle.
(f) Point Q is in the exterior of circle.
(g) OAB is a sector of circle.
(h) Shaded region in the interior of a circle enclosed by a chord ED.

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

Solution:
(a) Yes, a diameter is the longest chord.
(b) Not always.

Question 3.
Draw any circle and mark

(a) its centre
(c) a diameter
(d) a Sector
(e) a segment
(f) a point in its interior
(g) a point in its exterior
(h) an arc

Solution:
Draw any circle and its various parts are as under :

(a)
Its centre is O.
(b) Its radii are OA, OB and OC.
(c) Its diameter is AOC.
(d) Its sector is OAB.
(e) Shaded region in the interior of a circle enclosed by a chord PQ.
(f) M is a point in its interior.
(g) N is a point in its exterior.
(h) BC is an arc.

Question 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.

Solution:
(a)
True, because each diameter passes through the centre of a circle.
(b) True.