Mathematics · Geometry

In a circle with center O, two parallel chords AB and CD are on opposite sides of the center. If the length of chord AB is 16 cm, chord CD is 12 cm, and the distance between them is 14 cm, find the radius of the circle.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

18 cm
212 cm
310 cm✓
415 cm

Correct answer

10 cm

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In a circle with center O, two parallel chords AB and CD are on opposite sides of the center. If the length of chord AB is 16 cm, chord CD is 12 cm, and the distance between them is 14 cm, find the radius of the circle.

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In a circle with center O, two parallel chords AB and CD are on opposite sides of the center. If the length of chord AB is 16 cm, chord CD is 12 cm, and the distance between them is 14 cm, find the radius of the circle.

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