Multiple choice

The length of two chords situated at the opposite sides of the centre of a circle having diameter 20 cm are 16 cm and 12 cm respectively. Then the distance between them is- 20 सेमी व्यास वाले एक वृत्त के केंद्र की विपरीत दिशाओं में स्थित दो जीवाओं की लंबाई क्रमशः 16 सेमी और 12 सेमी हैं तो उनके बीच दूरी है?

  1. 14 cm/ सेमी

  2. 10 cm/ सेमी

  3. 12 cm/ सेमी

  4. 8 cm/ सेमी
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A Correct answer
Explanation

Circle diameter = 20 cm, so radius = 10 cm. For 16 cm chord, distance from center = sqrt(10² - 8²) = 6 cm. For 12 cm chord, distance = sqrt(10² - 6²) = 8 cm. Since chords are on opposite sides of center, total distance between them = 6 + 8 = 14 cm. Use perpendicular distance formula from center to chord.

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