Given concentric circles with center O, AABC is inscribed in the larger circle as shown. If BC is tangent to the smaller circle at point T and AB = 8, find the length of the radius of the smaller circle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.2: More Angle Measures In The Circle
Problem 48E: Given concentric circles with center O, ABC is inscribed in the larger circle, as shown. If BC is...
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Given concentric circles with center O, AABC is inscribed
in the larger circle as shown. If BC is tangent to the smaller
circle at point T and AB = 8, find the length of the radius
of the smaller circle.
Transcribed Image Text:Given concentric circles with center O, AABC is inscribed in the larger circle as shown. If BC is tangent to the smaller circle at point T and AB = 8, find the length of the radius of the smaller circle.
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