The radius of circle o is 32 and oc=12 what is the length of ab

1 answer

Based on the information provided, we know that OC is the radius of circle O, which is 32 units. We are also given that OC = 12 units.

Using the Pythagorean theorem, we can calculate the length of segment AB:

OC^2 + AC^2 = OA^2
12^2 + AC^2 = 32^2
144 + AC^2 = 1024
AC^2 = 1024 - 144
AC^2 = 880
AC = √880
AC = 29.7 (rounded to one decimal place)

Therefore, the length of segment AB is 2 * AC = 2 * 29.7 = 59.4 units.