AB is tangent to circle O at B. Find the length of the radius, r, for AB = 5 and AO = 13.

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asked Mar 5, 2019 63.0k views

2 Answers

SimonAx · Answer 1 · 2019-03-11T03:19:16+0000

ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12

The radius (r) is 12.

AB is tangent to circle O at B. Find the length of the radius, r, for AB = 5 and AO = 13.

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