Multiple choice

A chord of length 30 cm is at a distance of 8 cm from the centre of a circle. The radius of the circle is : 30 सेमी लम्बी एक जीवा, एक वृत्त के केन्द्र से 8 सेमी दूर है। तदनुसार, उस वृत्त की त्रिज्या कितनी है?

  1. 23 cm/सेमी

  2. 21 cm/सेमी

  3. 19 cm/सेमी

  4. 17 cm/सेमी

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D Correct answer
Explanation

In a circle, a chord of length L at distance d from center forms a right triangle with radius as hypotenuse. By Pythagorean theorem: r² = d² + (L/2)². Here: r² = 8² + (30/2)² = 64 + 225 = 289. So r = √289 = 17 cm.