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Home » eq d_1 $: 2 â 6 - Sterling Industries

eq d_1 $: 2 â 6 - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 The tangent of $ 45^\circ $ is defined as the ratio of sine to cosine at that angle:

📌 \tan 45^\circ = \frac{\sin 45^\circ}{\cos 45^\circ}

📌 \sin 45^\circ = \cos 45^\circ = \frac{\sqrt{2}}{2}

📌 Final answer: $ \boxed{1} $

📌 Question: The hypotenuse of a right triangle is $ h $, and the radius of the inscribed circle is $ r $. What is the ratio of the area of the circle to the area of the triangle?

📌 The area of a right triangle with inradius $ r $ and hypotenuse $ h $ is given by:

📌 A_{\text{triangle}} = r \cdot \frac{a + b + h}{2}

📌 But in a right triangle, the inradius is related to the sides $ a, b, h $ by:

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