Given that OC = 15, we can see that triangle OAC is a right triangle where AC is the hypotenuse and OC and OA are the legs.
Using the Pythagorean theorem:
OA^2 + OC^2 = AC^2
OA^2 + 15^2 = 42^2
OA^2 + 225 = 1764
OA^2 = 1539
OA ≈ 39.2
Since AB is a diameter of the circle passing through point A, AB = 2*OA
AB = 2*39.2 = 78.4
Therefore, the length of segment AB is approximately 78.4.
The radius of circle O is 42, and OC = 15. The diagram is not drawn to scale. What is the length of segment AB? Round the answer to the nearest tenth.
1 answer