The exact answer would be 167.09 so if you round the closest answer is D. $170
They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.
Let's consider x=chord PQ first. By the Law of Cosines

We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,





The area of the circle is the fraction given by the angle,



Answer: 24.7 sq cm
Add 31 to both sides.
<span><span><span><span>3x</span>−31</span>+31</span>=<span>76+31
</span></span><span><span>3x</span>=107
</span>
Divide both sides by 3.
<span><span><span><span><span><span>3x/</span>3</span></span></span></span>=<span><span><span>107/3
</span></span></span></span><span>x=<span></span></span>
You subtract 3 miles from the 5.5 miles which gives you 2.5
9.81 or 98.1 pretty sure it's the first one