The chord of a circle of radius 17 cm is 30 cm long. Calculate the distance of the chord from the centre of the circle.
A
15cm
B
47cm
C
8cm
D
169cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
The distance d from the center to the chord is found using the Pythagorean theorem, where half the chord is 15 cm (\(\frac{30}{2}\)).
So d \(\sqrt{(r^2 - (\frac{chord}{2})^2}\) = \(\sqrt{(17^2 - 15^2)}\) = \(\sqrt{(289 - 225)}\) = \(\sqrt{64}\) = 8 cm.
Source: WAEC / JAMB / NECO Classroom Archive (Record #74167)