FH and EG are diameters of OP. Find each measure.
Select one:
a. 180
b. 218
c. 142
d. 128

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