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Question

How many radii and chords are there in the given circle?


A
Radii = 2
Chords = 5
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B
Radii = 1
Chords = 6
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C
Radii = 3
Chords = 6
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D
Radii = 2
Chords = 7
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Solution

The correct option is D Radii = 2
Chords = 7
A radius is a straight line from the center of a circle to its circumference.

So, in the given figure, there are 2 radii, OC and OD.


A chord of a circle is a straight line segment whose end points lie on the circumference.

So, there are 5 horizontal chords in the given figure, namely XY, AB, CD, EF, and GH, and 2 vertical chords, XZ and YZ.

So, there are 5 + 2 = 7 chords

Hence, there are 2 radii and 7 chords in the given circle.

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