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