A \greenD{3\,\text{cm} \times 10\,\text{cm}}3cm×10cmstart color #1fab54, 3, start text, c, m, end text, times, 10, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius

A \greenD{3\,\text{cm} \times 10\,\text{cm}}3cm×10cmstart color #1fab54, 3, start text, c, m, end text, times, 10, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{12\,\text{cm}}12cmstart color #11accd, 12, start text, c, m, end text, end color #11accd.

What is the area of the shaded region?
Round your final answer to the nearest hundredth.

$A \greenD{3\,\text{cm} \times 10\,\text{cm}}3cm×10cmstart color #1fab54, 3, start-example-1$

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A \greenD{3\,\text{cm} \times 10\,\text{cm}}3cm×10cmstart color #1fab54, 3, start text, c, m, end text, times, 10, start text, c, m, end text, end color #1fab54 rectangle sits i…

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