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Home » Question: Compute \( \sin 225^\circ $. - Simpleprint

Question: Compute \( \sin 225^\circ $. - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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The semi-perimeter \( s \) of the triangle is:
s = \frac{a + b + z}{2}
The area \( A \) can also be expressed as:
A = r \cdot s = r \left(\frac{a + b + z}{2}\right)
\frac{\pi r^2}{A} = \frac{\pi r^2}{r \cdot s} = \frac{\pi r}{s}
Since \( s = \frac{a + b + z}{2} \) and \( a + b = z + 2r \), we have:
s = \frac{z + 2r + z}{2} = z + r
\frac{\pi r}{z + r}
\boxed{\frac{\pi r}{z + r}}
An equilateral triangle has an area of \( 36\sqrt{3} \) square centime...

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