Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: Six congruent circles form a ring with each circle externally tangent to the two circles adjacent to it.  All six circles are internally tangent to a circle $\cal C$ with radius 30.  Let $K$ be the area of the region inside $\cal C$ and outside all of the six circles in the ring.  Find $\lfloor K\rfloor$. (The notation $\lfloor K\rfloor$ denotes the greatest integer that is less than or equal to $K$.)
user