The circle has center \( O \). Its radius is \( 6 \mathrm{~m} \), and the central angle a measures \( 40^{\circ} \). What is the area of the shaded region
Give the exact answer in terms of \( \pi \), and be sure to include the correct unit in your answer.
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Answer

\(\frac{40\pi}{360} \cdot 6^2 \mathrm{~m^2}\)

Steps

Step 1 ：\(\frac{\text{Central angle}}{360^{\circ}} \cdot \text{Area of the circle}\)

Step 2 ：\(\frac{40^{\circ}}{360^{\circ}} \cdot \pi \cdot 6^2\)

Step 3 ：\(\frac{40\pi}{360} \cdot 6^2 \mathrm{~m^2}\)