Segment AB is tangent to circle O at B. The diagram is not drawn to scale. If AB = 9 and AO = 12.3, what is the length of the radius (r)? Round your answer to the nearest tenth. (1 point) Responses 8.4 8.4 12.3 12.3 19.6 19.6 15.8

Answer 1

To find the length of the radius (r), we will use the Pythagorean theorem.

AO is the hypotenuse of the right triangle formed by the radius (r), and the line segment from the center of the circle (O) to point B.

Therefore, we can calculate the length of the radius (r) using the following formula:

r = √(AO^2 - AB^2)
r = √(12.3^2 - 9^2)
r = √(151.29 - 81)
r = √70.29
r ≈ 8.4

Therefore, the length of the radius is approximately 8.4.

The correct answer is: 8.4.