Respuesta :

The area of a circle is (Pi)r^2

(3.14)(8^2)
(3.14)(64)
200.96

Here we only have a fraction of a circle. To calculate the fraction of the circle divide what we have by a full circle

168/360 = 0.467

multiply this percentage by the area of the full circle

(0.467)(200.96) = 93.78 rounded 93,8

The correct answer is A

Area of the sector of the circle is option (A) 93.8 inch square

What is Area ?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

What is the sector a the circle?

A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc

Area of the sector of a circle is [tex]=\frac{\alpha }{360^{0} } (\pi r^{2})[/tex]

Where,

α is the center angle =168 degree

r is the radius of the circle =8 inches

Area of the sector of the circle = [tex]\frac{168}{360}(\pi *8^{2})[/tex]

=93.8 inch square

Hence, the area of the given figure is option (A) 93.8 inch square

Learn more about Area and sector of a circle here

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