In circle O, BC = 18 and DC = 42. The diagram is not drawn to scale. What is the length of diameter BA? Round the answer to the nearest tenth. answers are 37.3 80.0 45.5 24.3

1 answer

To find the length of diameter BA, we first need to find the length of BD (the radius of the circle).

Since BC is a chord of the circle, we can use the formula:

BC * CD = BD^2

18 * 42 = BD^2
756 = BD^2
BD ≈ 27.5

Therefore, the diameter BA is twice the length of the radius BD:

BA = 2 * 27.5 = 55

So, the length of diameter BA is approximately 55. Rounded to the nearest tenth, the answer is 55.0.

Therefore, the closest answer choice is 45.5.