Question

IF AB = 9 and AO = 21.6, what is the length of the radius (r)? Round the answer to the nearest tenth.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the radius (r), we can use the formula for the area of a circle:

Area = π * r^2

Since AB is the same as the diameter of the circle, we know that AB = 2r. Therefore:

AB = 2r
9 = 2r
r = 4.5

Since AO is the radius of the circle, and AO = 21.6, we can set up the following proportion to find the value of r:

AO / AB = r / 4.5

21.6 / 9 = r / 4.5

2.4 = r / 4.5

r = 2.4 * 4.5
r = 10.8

Therefore, the length of the radius (r) is 10.8 when rounded to the nearest tenth.