Line AB is tangent to circle O at B. Find the length of the radius r for AB = 8 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale. 13.7, 3.7, 8.5, 14.2

Question

Allen Liu

Mathematics

18 July, 12:31

Line AB is tangent to circle O at B. Find the length of the radius r for AB = 8 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale. 13.7, 3.7, 8.5, 14.2

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Answers (1)

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Adyson Owen · Answer 1

8.5

Step-by-step explanation:

So the line segment that is tangent to the circle is 8, and AO is 11.7.

When you connect them, they are perpendicular, so you have a right triangle with one unknown leg that we will call X, a leg that is 8, and a hypotenuse that is 11.7.

If you use the Pythagorean Theorem, you will find that the leg is √72.89, which is approximately 8.5.

That leg is the radius.

This might be wrong so check it.