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Sagot :
We know the area of a cirlce is
[tex]A=\pi\cdot r^2[/tex]This is because, in radians, the angle of a whole circle is
[tex]2\pi[/tex]In order to proceed, we'll use the formula
[tex]167\cdot\frac{\pi}{180}\approx2.9147[/tex]Using this new value, we can now compute the area of the shaded region using the formula
[tex]A=\alpha r^2[/tex][tex]\text{Where }\alpha\text{ is the angle that generates the shaded region in radians}[/tex]In this case we have:
[tex]A=2.9147\cdot(17.8)^2=\text{ }923.493548[/tex]Round to the nearest tenth:
[tex]A=923.5yd^2[/tex]
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