Answer:
[tex]\large\boxed{D)\ \dfrac{11}{45}\pi}[/tex]
Step-by-step explanation:
Step 1:
Calculate what angle of 360° is the angle of 88°:
[tex]\dfrac{88}{360}=\dfrac{88:8}{360:8}=\dfrac{11}{45}[/tex]
Step 2:
Calculate the area of a circle:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]\\\\r - radius
We have the radius AO = 1. Substitute:
[tex]A=\pi(1^2)=\pi[/tex]
Step 3:
Calculate the area of a sector AOB:
[tex]A=\left(\dfrac{11}{45}\right)(\pi)=\dfrac{11}{45}\pi[/tex]
