Multiple choice

If the length of a chord of a circle at a distance of 4 cm from the centre is 6 cm, then the diameter of the circle is- यदि किसी वृत्त के केन्द्र से 4 सेमी की दूरी पर स्थित जीवा की लम्बाई 6 सेमी है, तो वृत्त का व्यास है।

  1. 10 cm/सेमी.

  2. 15 cm/सेमी.

  3. 17 cm/सेमी.

  4. 13.5 cm/सेमी.
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A Correct answer
Explanation

The perpendicular from the center to a chord bisects the chord. Half the chord = 3 cm. Distance from center = 4 cm. By Pythagoras theorem: r² = 3² + 4² = 9 + 16 = 25. So r = 5 cm and diameter = 2r = 10 cm.

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