Mathematics Class 6 NCERT Solutions: Chapter 4 Basic Geometrical Ideas Exercise 4.6

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Q.1 From the figure, identify:

Image For Basic Geometrical Ideas - 1

Image for Basic Geometrical Ideas - 1

Image For Basic Geometrical Ideas - 1

(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.

Answers:

Image For Basic Geometrical Ideas - 2

Image for Basic Geometrical Ideas - 2

Image For Basic Geometrical Ideas - 2

(a) O is the centre.

(b) Three radii:

(c) A diameter:

(d) A chord: ED

(e) Interior points:

(f) Exterior point:

(g) A sector:

(h) A segment:

Q.2

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

Answer: Yes, every diameter of a circle is also a chord.

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

Answer: No, every chord of a circle is not a diameter.

Q.3 Draw any circle and mark:

Figure of circle

Figure of Circle

Figure of circle

(a) Its centre.

Answer: Its centre is O.

(b) A radius.

Answer: A radius is OB.

(c) A diameter.

Answer: A diameter is AC.

(d) A sector.

Answer: A sector OAB.

Q.4 Say true or false:

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

Answer: True

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

Answer: True