The radius of circle o is 42 and OC = 15. the diagram is not drawn to scale. what is the length of the segment AB? round to the nearest tenth.

Question

A. 39.2
B. 58.5
C. 78.5
D. 29.2

Answer 1

To find the length of segment AB, we can use the Pythagorean theorem because triangle OCB is a right triangle.

First, let's find the length of CB:
Using the Pythagorean theorem:
CB^2 + OC^2 = OB^2
CB^2 + 15^2 = 42^2
CB^2 + 225 = 1764
CB^2 = 1539
CB ≈ 39.2

Now, to find the length of AB:
AB = 2 * CB
AB = 2 * 39.2
AB = 78.4

Rounded to the nearest tenth, the length of segment AB is 78.4. Therefore, the answer is:

C. 78.5