Question

Círculo de centro O.
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Answer 1

Hola!

Nota:

La fórmula para calcular el area de un circulo es:

$Area_{circulo} = \pi \times {r}^{2}$

Datos:

$Radio= x + 3 \\ </u></strong></p><p><strong><u>Radio= x + 3 \\ Area_{circulo}=49\pi \: {cm}^{2}$

Reemplazando y operando:

$Area_{circulo}=49 \pi \: {cm}^{2} \\ \pi \times {r}^{2} = 49 \pi \: {cm}^{2} \\ \pi \times {(x + 3)}^{2} = 49 \pi \: {cm}^{2} \\ {( x+ 3)}^{2} = \frac{49 \pi \: {cm}^{2}}{\pi} \\ (x + 3) = \sqrt{49 \: {cm}^{2} } \\ x + 3 = 7 \: cm \\ x = 4 \: cm$