Basic Geometrical Ideas
Exercise – 4.6
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 the circle.
(b) Three radii = OA, OB, OC
(c) A diameter = AC
(d) A chord = ED
(e) Two points in the interior = O, and P
(f) A point in the exterior = Q
(g) A sector = AOB
(h) A segment = ED
Ex 4.6 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. Diameter is also called as the longest chord.
(b) No, every chord of a circle is not a diameter.
Ex 4.6 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 arc
Solution:
(a) Centre = O.
(b) The radius = O
(c) A diameter = AC
(d) A sector = OAB
(e) A segment =ED
(f) A point in its interior = O
(g) A point in its exterior = Q
(h) An arc = AB
Ex 4.6 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.
Solutions:
(a) True.
(b) True.