Find the area of a circle with a circumference of 20tt units. *
ANSWER ASAP!!!

A.100 units squared
B.400 units squared
C.314 units squared
D.200 units squared

Respuesta :

Hi1315

Answer:

[tex] = 31.76 {units}^{2} [/tex]

*this is the correct answer but the correct answer is not there.

Step-by-step explanation:

[tex]2\pi \: r = 20 \\ \frac{2\pi \: r}{2} = \frac{20}{2} \\ \pi \: r = 10 \\ \frac{\pi \: r}{\pi} = \frac{10}{\pi} \\ r = 3.18 \: \: units[/tex]

[tex]area = \pi {r}^{2} \\ = \pi \times 3.18 \times 3.18 \\ = 31.76 {units}^{2} [/tex]