The area of the given sectors of circles is required.
The area of the sector is [tex]8.79\ \text{in}^2[/tex]
The area of the sector is [tex]151.98\ \text{cm}^2[/tex]
Area of sector
[tex]\theta[/tex] = Central angle = [tex]\dfrac{5\pi}{7}\ \text{rad}[/tex]
d = Diameter = 5.6 in
r = Radius = 2.8 in
Area of a sector is given by
[tex]A=\dfrac{\theta}{2}r^2\\\Rightarrow A=\dfrac{\dfrac{5\times 3.14}{7}}{2}\times 2.8^2\\\Rightarrow A=8.79\ \text{in}^2[/tex]
[tex]\theta=\dfrac{4\pi}{5}\ \text{rad}[/tex]
r = 11 cm
[tex]A=\dfrac{\dfrac{4\times 3.14}{5}}{2}\times 11^2\\\Rightarrow A=151.98\ \text{cm}^2[/tex]
Learn more about area of sector:
https://brainly.com/question/22972014
