In a circle of radius 10 cm, two parallel chords are on the same side of the center with lengths 12 cm and 16 cm. The distance between them is:
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Correct answer: A
Explanation
Given:
Radius of the circle = 10 cm
First chord = 12 cm
Second chord = 16 cm
According to the formula:
Distance of the chord from the center = √(r² − (l/2)²)
First chord (12 cm)
Distance from the center = √(10² − (12/2)²)
= √(100 − 36)
= √64
= 8 cm
Second chord (16 cm)
Distance from the center = √(10² − (16/2)²)
= √(100 − 64)
= √36
= 6 cm
Distance between the two = 8 − 6 = 2 cm