Answer:
78.4 square units
Step-by-step explanation:
First we will find the radius of the circle by using circumference formula of circle.
[tex]c = 2\pi \: r \\ 31.4 = 2 \times 3.14 \times r \\ \\ r = \frac{31.4}{2 \times 3.14} \\ \\ r = \frac{3140}{2 \times 314} \\ \\ r = \frac{10}{2} \\ \\ r = 5 \: units \\ \\ area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times {5}^{2} \\ = 3.14 \times 25 \\ = 78.5 \: {units}^{2} \\ [/tex]
