Multiple choice

If a chord of length 16cm is a distance of 15cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8cm from the centre is equal to एक जीवा की लम्बाई 16 सेमी और केंद्र से इसकी दूरी 15 सेमी हैं , इसी वृत की दूसरी जीवा की लम्बाई ज्ञात करें जिसकी केंद्र से दूरी 8 cm हैं ?

  1. 10 cm/सेमी

  2. 20cm/सेमी

  3. 30cm/सेमी

  4. 40cm/सेमी
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C Correct answer
Explanation

For chord length 16 cm at 15 cm from center: r² = 8² + 15² = 64 + 225 = 289, so r = 17 cm. For chord at 8 cm from center: chord/2 = √(17² - 8²) = √(289 - 64) = √225 = 15 cm. Therefore chord = 30 cm.

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