Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.6 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 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, we have:

(a) The centre of the circle is O.

(b) The three radii of the circle are:

(i) \(\overline{\mathrm{OA}}\)

(ii) \(\overline{\mathrm{OB}}\)

(iii) \(\overline{\mathrm{OC}}\)

(c) A diameter of the circle is \(\overline{\mathrm{AC}}\)

(d) A chord of the circle is \(\overline{\mathrm{ED}}\).

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

(f) One point in the exterior of the circle is Q.

(g) A sector of the circle is shaded as OBA.

(h) A segment of the circle is shaded as 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, the diameter is the longest chord of a circle.

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

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 are

Solution:

In the adjoining figure:

(a) Centre of the circle is O.

(b) \(\overline{\mathrm{OP}}\) is a radius of the circle.

(c) \(\overline{\mathrm{AB}}\) is a diameter of the circle.

(d) OBC is a sector (shaded part).

(e) AJK (shaded part) is a segment of the circle.

(f) The point Q is in the interior of the circle.

(g) The point L is in the exterior of the circle.

(h) \(\overline{\mathrm{MN}}\) is an are 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) Yes, it is a true statement.

(b) Yes, it is a true statement.