## NCERT Solutions For Class 6 Maths Basic Geometrical Ideas Exercise 4.6

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

**Exercise 4.6**

Question 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.

Solution:

In the given figure,

(a) O is the centre of the circle.

(b) Three radii of the given circle are , and .

(c) is a diameter of the circle.

(d) 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 diameter of a circle.

Question 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.

Solution:

In the given circle,

(a) O is the center.

(b) is a radious.

(c) 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 in the exterior of the circle.

(h) 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