1 Answer

Abdul Razak Zakieh · Answer 1 · 2023-07-13T12:00:32+0000

We know the area of a cirlce is

$A=\pi\cdot r^2$

This is because, in radians, the angle of a whole circle is

$2\pi$

In order to proceed, we'll use the formula

$167\cdot(\pi)/(180)\approx2.9147$

Using this new value, we can now compute the area of the shaded region using the formula

$A=\alpha r^2$
$\text{Where }\alpha\text{ is the angle that generates the shaded region in radians}$

In this case we have:

$A=2.9147\cdot(17.8)^2=\text{ }923.493548$

Round to the nearest tenth:

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