The radius of a circle is 15 cm and the length of one chord of the circle is 20 cm. What is the distance of the chord from the centre of the circle?
Answer & explanation
Correct answer: option 1
We know that,
H2 = B2 + P2
We have,
AB = 20 cm
CA = \(\frac{1}{2}\) × AB = \(\frac{1}{2}\) × 20 = 10 cm
OA = radius = 15 cm
(OC)2 = (OA)2 – (CA)2
= (OC)2 = 152 – 102
= (OC)2 = 225 – 100
= OC = \(\sqrt {125}\) = 5\(\sqrt {5}\) cm