The radius of circle o is 42 and OC is 15 the diagram is not drawn to scale what is the length of the segment a b round to the nearest tenth
In this problem, we can use the Pythagorean theorem to find the length of segment AB.
First, we can find the length of segment AC:
AC = OC - radius of circle O
AC = 15 - 42
AC = -27 (note that this is negative because the point A is to the left of point C)
Next, we can use the Pythagorean theorem to find the length of segment AB:
AB^2 = AC^2 + BC^2
AB^2 = (-27)^2 + 42^2
AB^2 = 729 + 1764
AB^2 = 2493
AB = sqrt(2493)
AB ≈ 49.9
Therefore, the length of segment AB is approximately 49.9 when rounded to the nearest tenth.