Problem

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

$\frac{40 π}{360} \cdot 6^{2} m^{2}$

Steps

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

Step 2 ： $\frac{40^{\circ}}{360^{\circ}} \cdot π \cdot 6^{2}$

Step 3 ： $\frac{40 π}{360} \cdot 6^{2} m^{2}$

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