NCERT Solution Class 6th Maths Chapter – 4 Basic Geometrical Ideas Exercise 4.6

Question 1. From the figure, identify –
(a) The Centre of the 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.

Solution: In the given figure,
(a) O is the centre of the circle.
(b) Three radii of the given circle are OA¯, OB¯ and OC¯.
(c) AC¯ is the diameter of the circle.
(d) ED¯ is a chord of the circle.
(e) O and P are in the interior of the circle.
(f) Q is a point in the exterior of the circle.
(g) OBA is a sector of the circle.
(h) EDSE, the shaded region is a segment of the circle.

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

Question 3.Draw any circle and mark
(a) It’s 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.

Solution: In the given circle,

(a) O is the centre.
(b) OA¯ is a radius.
(c) PQ¯ is a diameter.
(d) OQC is a sector (shaded part)
(e) PSR (shaded part) in the segment.
(f) M is in the interior of the circle.
(g) K is on the exterior of the circle.
(h) EF˘ is an arc of the circle.

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
(b) True