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What is the approximate area of the shaded sector in the circle shown below?

 

 Apr 27, 2020
 #1
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area of a sector is a fraction of the area of the whole circle:

\(\frac{\theta}{360°}*\pi r^2\\ \frac{145°}{360°}*\pi (3.7in)^2\approx17.3in^2\)

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 Apr 27, 2020
 #2
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Quick answer: D.17.3 in^2

 

Explained: 

First, we have to find the area wich A=πr2 (42.9866=3.14*(3.7*3.7)) then we have to divide 42.9866 by 360 to break the area into degrees which would be 0.119407222 (2 carried on). Then take the 0.119407222 and multiply it by the 145° which we would get 17.314047222 (2 carried on)

 

Explained in equations:

3.7*3.7=13.69

13.69*3.14=42.9866

42.9866/360=0.119407222

0.11940722*145=17.314047222

17.314047222 (rounded to the nearest tenth)=17.3in^2.

 

I hope this helps

 Apr 27, 2020

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