Problem
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. Check
Solution
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 ：\(\frac{40\pi}{360} \cdot 6^2 \mathrm{~m^2}\)
