If a chord of a circle is 24 cm and the distance of the chord from the center is 5 cm, what is the diameter of the circle?
Show answer & explanation
Correct answer: B
Explanation
Given:
Chord = 24 cm
Distance of the chord from the center = 5 cm
By the formula:
r² = d² + (c/2)²
r² = 5² + (24/2)²
r² = 25 + 12²
r² = 25 + 144
r² = 169
r = 13
Diameter = 2r
Diameter = 2 × 13 = 26 cm