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