Two parallel chords of a circle, of lengths 10 cm and 24 cm, lie on opposite sides of the centre and are 17 cm apart. What is the radius of the circle?

Question

Accepted Answer

13 cm. With radius r, the distances from the centre are √r^2 - 25 and √r^2 - 144, and they add to 17. Trying r = 13 gives 12 + 5 = 17 (the sum increases with r, so this is the only value).

Two parallel chords of a circle, of lengths 10 cm and 24 cm, lie on opposite sides of the centre and are 17 cm apart. What is the radius of the circle?

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