1 Answer

Clark Bao · Answer 1 · 2021-09-12T16:35:38+0000

Answer:

6.5 units

Explanation:

In circle with center O, AB is diameter.

$\therefore m\angle ACB = 90°\\$

(Angle inscribed in a semicircle)

$\therefore \: in\: \triangle ABC, \:AB \: is\: hypotenuse \\$

By Pythagorean theorem:

$AB = \sqrt{ {12}^(2) + {5}^(2) } \\ = √(144 + 25) \\ = √(169) \\ AB \: = 13 \\ r = (13)/(2) = 6.5 \: units$

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