Three congruent circles have their centers on the same diagonal of a square, with two of the circles each tangent to two sides of the square, and the third circle externally tangent to the other two circles, all as shown. If the length of a side of the square is 8 , what is the length of a radius of one of the circles?
A.
\(\sqrt{2}\)
B.
\(\frac{8 \sqrt{2}}{7}\)
C.
\(4 \sqrt{2}-4\)
D.
none of above
Exam No：2020 First Round Grades 10-12 Year：2020 Question No：29
Answer:
C
Knowledge points:
G10-12 - Geometry - Circle Properties (Tangents, Angles)
Solution:
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