Question

a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle​

Answer 1

Answer:

The answer is below!!

Step-by-step explanation:

The formula used to find the area of a circlular sector - a pie-shaped part of a circle. ... π. 4. 2. ·. 86. 360. = 12.01. What the formulae are doing is taking the area of the whole ... So for example, if thecentral angle was 90°, then the sector would have an area equal to one ... r is the radius of the circleof which the sector is part.

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Answer 2

Answer:

area of entire circle = 84 in²

Explanation:

$\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector$

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$\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14$

$\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14$

$\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}$

$\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }$

$\sf \rightarrow r = 5.17\ in$

Area of circle:

$\sf \pi r^2$

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$\hookrightarrow \sf \pi (5.17)^2$

$\hookrightarrow \sf 84\ in^2$