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-

  1. 14 cm

  2. 12 cm

  3. 10 cm

  4. 8 cm
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A Correct answer
Explanation

For chords on opposite sides of the center in a circle of diameter 20 cm (radius r = 10 cm), distances from center are √(10² - 8²) = 6 cm for the 16 cm chord and √(10² - 6²) = 8 cm for the 12 cm chord. Since chords are on opposite sides, total distance = 6 + 8 = 14 cm.

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