The perpendicular distance from the center of a circle to a chord is 5 cm. If the length of the chord is 24 cm, find the radius of the circle. Also, calculate the distance of another chord of length 18 cm from the center.
Show answer & explanation
Correct answer: B
Explanation
Given:
Chord = 24 cm, Distance = 5 cm
Second chord = 18 cm
According to the formula:
r² = d² + (l/2)²
r² = 5² + (24/2)²
= 25 + 144 = 169
r = 13
For the second chord:
d² = r² − (18/2)²
= 169 − 9²
= 169 − 81 = 88
d = √88 = 2√22
Radius = 13 cm, Distance = 2√22 cm