
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
A circle with center $O$ is tangent to the coordinate axes and the hypotenuse of a $45^\circ$-$45^\circ$-$90^\circ$ triangle $ABC$ with $AC = 2$ as shown. What is the radius of the circle?
A) 0.5
B) 1.0 
C) 1.5 
D) 2.0 
E) 2.5

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