By drawing a diagram and using the fact that AB is tangent to circle O at B, we see that angle AOB is a right angle. Thus, we can use the Pythagorean theorem to find r:
r^2 = AO^2 - AB^2
r^2 = 11.7^2 - 6^2
r^2 = 133.29 - 36
r^2 = 97.29
r ≈ 9.9
So the answer is closest to option (b) 8.9 (rounded to the nearest tenth).
AB is tangent to circle O at B. The diagram is not drawn to scale.
if AB =6 and AO =11.7, what is the length of the radius (r)? round answer to the nearest tenth.
a) 5.7
b)8.9
c)10.0
d)13.1
1 answer