
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given a quadrilateral ABCD inscribed in a circle, where side lengths are: AB = 24, BC = 45, CD = 28, DA = 53. The quadrilateral is also tangent to a smaller circle at point B (between segments AB and BC) such that $\overline{AB}$ is a diameter of the smaller circle. Verify if the triangles formed by these diagonals are right triangles and calculate the circumference of the smaller circle if it is tangent at B.
A) $12\pi$
B) $24\pi$
C) $36\pi$
D) $48\pi$

Present the answer in LaTex format: \boxed{Your answer}
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