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Home » Simplify: \( 4\pi r^2 = 100\pi \). - SUpost

Simplify: \( 4\pi r^2 = 100\pi \). - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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📝 Recent Posts

Let $a = 45^\circ$, $b = 30^\circ$, so:
\tan 75^\circ = \tan(45^\circ + 30^\circ) = \frac{\tan 45^\circ + \tan...
= \frac{1 + \frac{1}{\sqrt{3}}}{1 - 1 \cdot \frac{1}{\sqrt{3}}} = \fra...
Multiply numerator and denominator by $\sqrt{3} + 1$:
= \frac{(\sqrt{3} + 1)^2}{(\sqrt{3} - 1)(\sqrt{3} + 1)} = \frac{3 + 2\...
\boxed{2 + \sqrt{3}}
Question: A historian discovers a triangular tablet with sides 17 cm,...
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...

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