Since AB is tangent to circle O at B, we know that the radius of the circle is perpendicular to AB. Therefore, we can use the Pythagorean theorem to find the length of the radius:
r^2 = AO^2 - AB^2
r^2 = 11.7^2 - 6^2
r^2 = 125.79
r ≈ 11.2
Therefore, the length of the radius is approximately 11.2 units.
AB is tangent to circle O at B.
If AB = 6 and AO = 11.7, what is the length of the radius (r)? Round your answer to the nearest tenth.
1 answer