Question:

A circle having radius \( 3 \, \text{cm} \), then the length of its largest chord is:

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The diameter of a circle is the longest chord, always equal to \( 2 \times \text{Radius} \).
  • \( 1.5 \, \text{cm} \)
  • \( 3 \, \text{cm} \)
  • \( 6 \, \text{cm} \)
  • \( 9 \, \text{cm} \)
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The Correct Option is C

Solution and Explanation

Step 1: The largest chord of a circle is its diameter. The diameter of a circle is given by: \[ \text{Diameter} = 2 \times \text{Radius}. \] Step 2: Substituting the given radius \( 3 \, \text{cm} \), we find: \[ \text{Diameter} = 2 \times 3 = 6 \, \text{cm}. \] Hence, the largest chord is \( 6 \, \text{cm} \).
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