Respuesta :

devishri1977

Answer:

Step-by-step explanation:

Area of circle = 78.5 in²

πr² = 78.5

3.14*r² = 78.5

[tex]r^{2}=\frac{78.5}{3.14}\\\\=\frac{78.5*100}{3.14*100}\\\\=\frac{7850}{314}\\\\r^{2}=25\\r=\sqrt{25}=\sqrt{5*5}\\\\[/tex]

r =  5 in

Answer:

[tex]area = \pi \times r ^{2} \\ 78.5 = 3.14 {r}^{2} \\ \frac{78.5}{3.14} = \frac{3.14 {r}^{2} }{3.14} \\ {r}^{2} = 25 \\ r = \sqrt{25} \\ r = 5inches[/tex]