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Sagot :
Answer:
Los radios de los círculos son [tex]r_{1} \approx 9.995[/tex], [tex]r_{2} \approx 2.013[/tex], [tex]r_{3} \approx 7.592[/tex], respectivamente.
Las áreas de los círculos son [tex]A_{1} \approx 313.845[/tex], [tex]A_{2} \approx 12.730[/tex], [tex]A_{3} \approx 181.077[/tex], respectivamente.
Step-by-step explanation:
La circunferencia ([tex]s[/tex]) se calcula mediante la siguiente fórmula:
[tex]s = 2\pi\cdot r[/tex] (1)
Donde [tex]r[/tex] es el radio del círculo.
Una vez hallado el radio, se determina el área de la figura geométrica ([tex]A[/tex]) mediante la siguiente fórmula:
[tex]A = \pi\cdot r^{2}[/tex] (2)
Si conocemos que las circunferencias son [tex]s_{1} = 62.8[/tex], [tex]s_{2} = 12.65[/tex] y [tex]s_{3} = 47.7[/tex], respectivamente:
1) Radios de los círculos
[tex]r_{1} = \frac{s_{1}}{2\pi}[/tex], [tex]r_{2} = \frac{s_{2}}{2\pi}[/tex], [tex]r_{3} = \frac{s_{3}}{2\pi}[/tex]
[tex]r_{1} \approx 9.995[/tex], [tex]r_{2} \approx 2.013[/tex], [tex]r_{3} \approx 7.592[/tex]
2) Áreas de los círculos
[tex]A_{1} = \pi\cdot r_{1}^{2}[/tex], [tex]A_{2} = \pi\cdot r_{2}^{2}[/tex], [tex]A_{3} = \pi\cdot r_{3}^{2}[/tex]
[tex]A_{1} \approx 313.845[/tex], [tex]A_{2} \approx 12.730[/tex], [tex]A_{3} \approx 181.077[/tex]
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