Lowe Gross
01/14/2024 · Middle School
a) \( C=10 \mathrm{~km} ; r= \)
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Tutor-Verified Answer
Step-by-step Solution
Para resolver a expressão \( C = 10 \, \text{km} \) e encontrar o valor de \( r \), precisamos lembrar que a fórmula para calcular o comprimento de um círculo é dada por \( C = 2\pi r \), onde \( C \) é o comprimento da circunferência e \( r \) é o raio do círculo.
Dado que \( C = 10 \, \text{km} \), podemos substituir esse valor na fórmula e resolver para \( r \):
\[ 10 = 2\pi r \]
Agora, vamos resolver essa equação para encontrar o valor de \( r \).
Solve the equation by following steps:
- step0: Solve for \(r\):
\(10=2\pi r\)
- step1: Swap the sides:
\(2\pi r=10\)
- step2: Divide both sides:
\(\frac{2\pi r}{2\pi }=\frac{10}{2\pi }\)
- step3: Divide the numbers:
\(r=\frac{5}{\pi }\)
O valor de \( r \) é \( r = \frac{5}{\pi} \) km.
Quick Answer
Para encontrar \( r \) com \( C = 10 \, \text{km} \), use a fórmula \( C = 2\pi r \). Assim, \( r = \frac{5}{\pi} \) km.
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