NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Problems and SolutionsQuestion 73
Class 6 - Mathematics - Unit 2: Geometry - Problems and Solutions
Question. 73
In Fig. 2.47, O is the centre of the circle.
(a) Name all chords of the circle.
(b) Name all radii of the circle.
(c) Name a chord which is not a diameter.
(d) Shade sectors OAC and OPB.
(e) Shade the smaller segment of the circle formed by CP.
Answer:
(a) Chords (joining any two points on the circle): AB, BC, CA, AP, PB, PC (of these, AP is a diameter).
(b) Radii: OA, OB, OC, OP.
(c) Example: PC (also AB, BC, CA, PB).
(d) Sector OAC is bounded by radii OA and OC and arc AC; sector OPB is bounded by OP and OB and arc PB.
(e) The smaller segment is the region bounded by chord CP and the minor arc CP.
Detailed Answer with Explanation:
Definitions: radius joins centre to a point on circle; chord joins any two points on the circle; a diameter is a chord through the centre.