Respuesta :

jasondaykem

Area of the small circle = [tex] \pi  [/tex]r[tex] x^{2}  [/tex] = 3.14 x 7[tex] x^{2}  [/tex]= 153.86

Area of the big circle = [tex] \pi  [/tex]R[tex] x^{2}  [/tex]=3.14 x 14[tex] x^{2}  [/tex]= 615.44

The shaded area = area of the big circle - area of 2 small circle = 615.44-2x153.84≅308

The answer is 308
So the small circles are touching each other and they have a radius of 7 inches. so that means that the big circle will have a radius of 14 inches which is double the small circles radius. after we find the radius of the big circle, we have to calculate the big circles area. which we will find by the formula

[tex]14 \times 14 \times \pi[/tex]
14 squared times pi is 615.44
this is the big circles are but the question askes the area left after we subtract the 2 small circles
we find the are of the small circles by doing
[tex]7 \times 7 \times \pi[/tex]
which is 153.86.
after finding the area of the small circles we multiply it by two a d subtract it from the big circles area
[tex]615.44 - 153.86 \times 2 [/tex]

and we find 307.72 which is the closest to 308
so the answer is D
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