The curve is a circle, and all you need is to find its radius.
For it, transform the given equation of a circle from its general form to its standard form.
For it, complete the squares for x- and y-terms separately in the given equation
x^2 + y^2 - 3x - 8y + 18 = 0
(x^2 - 3x) + (y^2 - 8y) = -18
(x^2 - 3x + 2.25) + (y^2 - 8y + 16) = -18 + 2.25 + 16
+ = 0.25.
Thus you have the circle centered at the point (1.5,4) and having the radius of r = = 0.5.
The area of this circle is = = . ANSWER
Solved.
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