Answer:
12.56 square cm
Step-by-step explanation:
[tex] Central \:angle \:(\theta) = 40°\\
Radius \: (r) = 6 cm[/tex]
Let A be the area of the sector of circle.
[tex] \therefore \: A = \frac{\theta }{360 \degree} \times \pi {r}^{2} \\ \\= \frac{ 40 \degree}{360 \degree} \times 3.14\times {6}^{2} \\ \\ = \frac{ 1}{9} \times 3.14 \times 36 \\ \\ = 3.14 \times 4 \\ \\ = 12.56 \: {cm}^{2} [/tex]
