
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
In trapezium \(PQRS\), \(SR = PQ = 25 \text{ cm}\) and \(SP\) is parallel to \(RQ\). All four sides of \(PQRS\) are tangent to a circle with center \(C\). The area of the trapezium is \(600 \text{ cm}^2\). What is the radius of the circle?

A) \(7.5 \text{ cm}\)
B) \(8 \text{ cm}\)
C) \(9 \text{ cm}\)
D) \(10 \text{ cm}\)
E) \(12 \text{ cm}\)

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