Answer:
area of entire circle = 84 in²
Explanation:
[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]
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[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]
[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]
[tex]\sf \rightarrow r = 5.17\ in[/tex]
Area of circle:
[tex]\sf \pi r^2[/tex]
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[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]
[tex]\hookrightarrow \sf 84\ in^2[/tex]
