Answer:
[tex] A = \dfrac{98}{3} \pi~cm^2 [/tex]
Step-by-step explanation:
[tex] A = \dfrac{n}{360^\circ}\pi r^2 [/tex]
where n = central angle measure of sector, r = radius
[tex] A = \dfrac{240^\circ}{360^\circ}\pi (7~cm)^2 [/tex]
[tex] A = \dfrac{2}{3} \times 49 \pi~cm^2 [/tex]
[tex] A = \dfrac{98}{3} \pi~cm^2 [/tex]
