ANSWER
The area is 112.9 square units to the nearest tenth.
EXPLANATION
The circumference is given by:
[tex]C=2\pi \: r[/tex]
This implies that,
[tex]37.68 = 2 \: \pi \: r[/tex]
[tex] \frac{37.68}{2\pi} = r[/tex]
[tex]r = 5.997[/tex]
The area of a circle is
[tex]\pi \: {r}^{2} [/tex]
We substitute the radius to get;
[tex]3.14 \times 5.997 ^{2} = 112.93 \: sq. \: units[/tex]
To the nearest tenth, the area of the circle is 112.9 square units.
