Respuesta :

Explicación paso a paso:

[tex]p =2 \times \pi \times {r} \\ \\ 10 = 2\pi \times r \\ r = \frac{10}{2\pi} \\ r = \frac{5}{\pi} [/tex]

[tex]2\pi = 2\pi \times r \\ r = \frac{2\pi}{2\pi} \\ r = 1[/tex]

[tex]6\pi = 2\pi \times r \\ r = \frac{6\pi}{2\pi} \\ r = 3[/tex]

[tex]a = \pi \times {r}^{2} \\ \\ 100 = \pi {r}^{2} \\ {r}^{2} = \frac{100}{\pi} \\ r = \frac{ \sqrt{100} }{ \sqrt{\pi} } = \frac{10}{ \sqrt{\pi} } [/tex]

[tex]16\pi = \pi \times {r}^{2} \\ {r}^{2} = \frac{16\pi}{\pi} \\ {r}^{2} = 16 \\ r = \sqrt{16 } = 4[/tex]

[tex]9\pi = \pi {r}^{2} \\ {r}^{2} = \frac{9\pi}{\pi} \\ {r}^{2} = 9 \\ r = \sqrt{9} = 3[/tex]