In a circle, chord AB has a length of 30 cm and the perpendicular distance from the center O to the chord is 8 cm. What is the diameter of the circle?
Show answer & explanation
Correct answer: B
Explanation
Given:
Chord AB = 30 cm
Distance of the chord from the center = 8 cm
Formula:
r² = d² + (c/2)²
r² = 8² + (30/2)²
r² = 64 + 15²
r² = 64 + 225
r² = 289
r = 17
Diameter = 2r
Diameter = 2 × 17 = 34 cm