Answer:
[tex]r[/tex] ≈ 30.6 cm
(Please vote me Brainliest if this helped!)
Step-by-step explanation:
Consider the figure as shown (not to scale). Let [tex]r[/tex] be the radius of the circle. Because the distance of 30 cm is part of the diameter and is perpendicular to the chord, then it bisects the chord by Theorem 10-6: (Image attached)
Using Pythagorean Theorem,
[tex]r^{2}[/tex] = [tex]6^{2}[/tex] + [tex]30^{2}[/tex]
[tex]r^{2}[/tex] = 36 + 900
[tex]r^{2}[/tex] = 936
[tex]r[/tex] ≈ 30.6 cm
