The distance between two parallel chords of lengths 16 cm and 12 cm in a circle of radius 10 cm is:
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Correct answer: A
Explanation
Given:
Radius of the circle = 10 cm
Chords = 16 cm and 12 cm
Formula:
Distance of the chord from the center = √(r² − (l/2)²)
For a 16 cm chord
Distance = √(10² − 8²)
= √(100 − 64)
= √36
= 6 cm
For a 12 cm chord
Distance = √(10² − 6²)
= √(100 − 36)
= √64
= 8 cm
Distance between the two chords = 8 + 6 = 14 cm
= 8 − 6 = 2 cm
2 cm or 14 cm.