Given in the question:
a.) A circle with a radius of 3 ¼ yds.
Let's recall the formula in getting the area of a circle:
[tex]\text{Area = }\pi r^2[/tex]Let's substitute the given radius to find the area. We get,
[tex]\text{Area = }\pi r^2[/tex][tex]\text{Area = }\pi(3\frac{1}{4})^2\text{ = }\pi(\frac{13}{4})^2[/tex][tex]\text{ = }\pi(\frac{169}{16})[/tex][tex]\text{ = }\frac{169}{16}\pi\text{ yds. }\approx\text{ 33.18 yds.}[/tex]Therefore, the area of the circle is 33.18 yds.