A circle has a radius of 8. Find the area of a sector of this circle that is intercepted by central angle measuring pi over 7

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

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step-by-step explanation: