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Home » \( a(a + b) = 20 \) - Nurtured Nest

\( a(a + b) = 20 \) - Nurtured Nest

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 \[ A = \frac{3\sqrt{3}}{2} s^2 \]

📌 For a hexagon inscribed in a circle, the side length \( s = \) radius \( = 6 \, \text{cm} \).

📌 \[ A = \frac{3\sqrt{3}}{2} \times 6^2 = \frac{3\sqrt{3}}{2} \times 36 \]

📌 \[ A = 54\sqrt{3} \approx 93.53 \, \text{square cm} \]

📌 #### 93.53

📌 The equation of a circle is \( (x - 3)^2 + (y + 2)^2 = 25 \). Find the center and radius of the circle.

📌 The standard form of a circle's equation is \( (x - h)^2 + (y - k)^2 = r^2 \), where \( (h, k) \) is the center and \( r \) is the radius.

📌 Comparing, \( h = 3 \), \( k = -2 \), and \( r^2 = 25 \).

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