Question

Two parallel chords of a circle of diameter 20 cm are 12 cm and 16 cm long. If the chords are on the same side of the center, what is the distance between them?

A 28 cm Correct Answer Incorrect Answer
B 2 cm Correct Answer Incorrect Answer
C 4 cm Correct Answer Incorrect Answer
D 8 cm Correct Answer Incorrect Answer

Solution

Using the right triangle formed by the chord of 12 cm: OB ²   = 10 ² -   6 ²   = 8 ² then OB = 8 cm Using the right triangle formed by the chord of 16 cm: OA ²   = 10 ² - 8 ²   = 6 ² then OA = 6 cm Then then the distance between two chords = OB - OA = 8 - 6 = 2 cm

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