Question:

If the radius of a circle is 5 cm, then find the length of the longest chord of the circle.

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The diameter is always the longest chord in a circle.
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Solution and Explanation

Step 1: Recall the property of chords.
The longest chord of a circle passes through its center and is equal to the diameter of the circle.
Step 2: Use the relationship between radius and diameter.
\[ \text{Diameter} = 2 \times \text{radius} \] \[ \text{Diameter} = 2 \times 5 = 10 \, \text{cm} \]
Step 3: Conclusion.
Hence, the length of the longest chord = 10 cm.
Correct Answer: 10 cm
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