Final answer:
The length of the chord is 8 cm. The Correct Answer is Option. C.
Step-by-step explanation:
To find the length of the chord, we can use the Pythagorean theorem. The distance from the center of the circle to the chord is the perpendicular distance from the center to the chord, which is also the height of the right triangle formed. Let's denote the length of the chord as 'x'. We have:
radius^2 = (x/2)^2 + (3)^2
5^2 = (x/2)^2 + 3^2
25 = (x^2/4) + 9
25 - 9 = (x^2/4)
16 = x^2/4
4 * 16 = x^2
64 = x^2
x = sqrt(64)
x = 8cm
Therefore, the length of the chord is 8 cm (option c).