The distance of a chord from the center of a circle is 3 cm, and the length of the chord is 8 cm. What is the diameter?

The distance of a chord from the center of a circle is 3 cm, and the length of the chord is 8 cm. What is the diameter?

Explanation

Half of the chord is 8/2 = 4 cm, and distance from the center is 3 cm, forming a right triangle.

Use Pythagoras: radius² = 3² + 4² = 9 + 16 = 25 ⇒ radius = 5 cm, so diameter = 2 × 5 = 10 cm.