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Home » Download This Free AP Chemistry Equation Sheet Before Your Exam! Proven Hack! - Sterling Industries

Download This Free AP Chemistry Equation Sheet Before Your Exam! Proven Hack! - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 The inradius \( c \) of a right triangle is given by:

📌 where \( z = \sqrt{a^2 + b^2} \). Also, the area can express in terms of the inradius:

📌 A = c \cdot s,

📌 where \( s = \frac{a + b + z}{2} \) is the semi-perimeter.

📌 A_{\text{circle}} = \pi c^2.

📌 Thus, the ratio \( R \) of the area of the circle to the area of the triangle is:

📌 R = \frac{\pi c^2}{A} = \frac{\pi c^2}{c \cdot s} = \frac{\pi c}{s}.

📌 For a right triangle, it is known that \( r = \frac{a + b - c}{2} \), and also \( A = r s \), so the ratio simplifies to:

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