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Question 73

In the given figure, 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 the diameter of the circle.

d) Shade sectors OAC and OPB.

e) Shade smaller segment of the circle formed by CP.


Solution

A chord of a circle is a straight line segment whose both endpoints lie on the circle. The longest chord which passes through the centre of the circle is known as diameter.  The line segment joining the centre to the point which lies on the circle is known as the radius.

The portion of a circle enclosed by two radii is known as the sector.  The segments of a circle are the region bounded by a chord and the arc subtended by the chord.

a) CP and AB are the two chords.

b) OA, OB, OC and OP are the radii of the circle.

c) CP is a chord which is not the diameter of the circle because it does not pass through the centre.

d) Shaded sectors OAC and OPB are

e) The shaded smaller segment of the circle formed by CP is


Mathematics
NCERT Exemplar
Standard VI

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