The length of a chord that is at a distance of 5 cm from the center of a circle of radius 13 cm is:
Show answer & explanation
Correct answer: C
Explanation
Given:
Radius of the circle = 13 cm
Distance of the chord from the center = 5 cm
Formula:
Half the length of the chord = √(r² − d²)
Half the length of the chord = √(13² − 5²)
= √(169 − 25)
= √144
= 12
Length of the chord = 2 × 12 = 24 cm