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r = \sqrt\frac50\pi - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Solution: Use the formula for the circumradius $R$ of a triangle:
R = \frac{abc}{4A}
where $a = 17$, $b = 25$, $c = 28$, and $A$ is the area. First, comput...
s = \frac{17 + 25 + 28}{2} = 35
Then compute the area using Heron’s formula:
A = \sqrt{35(35 - 17)(35 - 25)(35 - 28)} = \sqrt{35 \cdot 18 \cdot 10...
Now compute $R$:
R = \frac{17 \cdot 25 \cdot 28}{4 \cdot 210} = \frac{11900}{840} = \fr...
\boxed{\frac{85}{6}}
$$Question: If the area of a circle is $ 25\pi $, what is the radius?

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