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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04-05-2018
Mathematics

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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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sqdancefan sqdancefan · Answer 1 · 2018-05-08T22:32:44+02:00

sqdancefan sqdancefan

08-05-2018

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.

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Risa290 Risa290 · Answer 2 · 2018-10-06T14:02:07+02:00

Risa290 Risa290

06-10-2018

the radius is twelve

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