To find the length of the radius, we can use the Pythagorean theorem.
Let x be the length of the radius (r).
From triangle ABO, we have:
AB^2 + BO^2 = AO^2
9^2 + x^2 = 12.3^2
81 + x^2 = 151.29
x^2 = 70.29
x = √70.29
x ≈ 8.4
Therefore, the length of the radius is approximately 8.4.
Correct answer: 8.4
Triangle ABO:
1. Segment AB is tangent to circle O at B. The diagram is not drawn to scale. If AB = 9, AO = 12.3 and BO = (r), what is the length of the radius (r)? Round your answer to the nearest tenth. (1 point) Responses 8.4 8.4 19.6 19.6 15.8 15.8 12.3
1 answer
1 answer