CBSE Class 6 Answered
Is every diameter of a circle a chord? And is every chord of a circle a diameter?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Chord: A line segment joining two points on the circle is called chord.
Diameter: A line joining two points on the circle and passes through the centre is called diameter.
It turns out that a diameter of a circle is the longest chord of that circle since it passes through the center. A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.
Diameter: A line joining two points on the circle and passes through the centre is called diameter.
It turns out that a diameter of a circle is the longest chord of that circle since it passes through the center. A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.
Answered by | 04 Jun, 2014, 03:23: PM
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