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Home » Let’s compute this directly using the identity: - Abbey Badges

Let’s compute this directly using the identity: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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For an equilateral triangle, the radius \( r \) of the inscribed circl...
r = \frac{s \sqrt{3}}{6}
The area \( A_{\text{circle}} \) of the circle is:
A_{\text{circle}} = \pi r^2 = \pi \left(\frac{s \sqrt{3}}{6}\right)^2...
Now, the ratio of the area of the circle to the area of the triangle i...
\text{Ratio} = \frac{A_{\text{circle}}}{A_{\text{triangle}}} = \frac{\...
Thus, the ratio of the area of the circle to the area of the triangle...
A regular tetrahedron has a side length of \( b \) units. What is the...
The volume \( V_{\text{tetrahedron}} \) of a regular tetrahedron with...
V_{\text{tetrahedron}} = \frac{b^3}{6\sqrt{2}}

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