A circle with a radius of 8 cm has a chord located 4 cm away from the center. What is the length of the chord?
Show answer & explanation
Correct answer: B
Explanation
Given:
Radius = 8 cm
Distance of the chord from the center = 4 cm
According to the formula:
(Half-chord)² + (Distance)² = (Radius)²
(Half-chord)² = 8² − 4² = 48
Half-chord
= √48
= 4√3
Length of the chord = 2 × 4√3 = 8√3 cm