## MP Board Class 6th Maths Solutions 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:

(a) O is the centre of circle.

(b) Three radii: \(\overline{O A}\), \(\overline{O B}\) and \(\overline{O C}\)

(c) A diameter : \(\overline{A C}\)

(d) A chord : \(\overline{E D}\)

(e) Two interior points : O and P

(f) Exterior point: Q

(g) A sector : OAB (shaded part)

(h) A segment: ED (shaded part)

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 of a circle is also a chord. It is the largest chord of a circle.

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

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

Solution:

(a) O is the centre of the circle.

(b) \(\overline{O A}\) is the radius

(c) \(\overline{A B}\) is the diameter.

(d) OAC is the sector, (shaded part)

(e) EF is the segment, (shaded part)

(f) Q is a point in its interior.

(g) R is a point in its exterior.

(h) \(\widehat{A C}\) 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

(b) True