In a circle with a radius of 15 cm, a chord measures 18 cm in length. Find the perpendicular distance from the center of the circle to this chord.
Show answer & explanation
Correct answer: B
Explanation
Given:
Radius (r) = 15 cm
Length of chord = 18 cm
Formula:
Distance of chord from center = √(r² − (c/2)²)
c/2 = 18/2 = 9
Distance = √(15² − 9²)
= √(225 − 81)
= √144
= 12
Distance of chord from center = 12 cm