the radius of circle O IS 18 and OC =12 round your answer to the nearest tenth

1 answer

The length of the segment OC can be found using the Pythagorean theorem since O, C, and the center of the circle A form a right triangle.

Using the Pythagorean theorem:
OA^2 = OC^2 + AC^2
18^2 = 12^2 + AC^2
324 = 144 + AC^2
180 = AC^2
AC = √180
AC ≈ 13.4 (rounded to the nearest tenth)

Therefore, the length of OC is approximately 13.4.