Answer:
14.4 square units
Step-by-step explanation:
Keep in mind that the area here is a fraction of the area of a full circle of radius 8.
(area of sector) = (fraction)(pi)(8)^2
The fraction is the given central angle (pi over 7) divided by 2pi:
pi 1
--------- * ----------- = 1/14
7 2pi
Multiply the formula (fraction)(pi)(8)^2 found above by this fraction:
area of sector = (1/14)(pi)(8)^2 = 14.4 square units
