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Home » Men’s Stitch Braids: Why Everyone’s Talking About This Bold New Look! - AssociationVoting

Men’s Stitch Braids: Why Everyone’s Talking About This Bold New Look! - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 When a rectangle is inscribed in a circle, the diagonal of the rectangle is the diameter of the circle.

📌 The diagonal \( d \) of the rectangle can be found using the Pythagorean Theorem:

📌 Thus, the diameter of the circle is \( 13 \) cm, so the radius \( r \) is:

📌 The circumference \( C \) of the circle is:

📌 C = 2\pi r = 2\pi \cdot \frac{13}{2} = 13\pi \text{ cm}

📌 Therefore, the circumference of the circle is \(\boxed{13\pi}\).

📌 An equilateral triangle has an area of \( 36\sqrt{3} \) cm². If each side of the triangle is increased by 2 cm, by how many square centimeters does the area increase?

📌 \frac{1}{4} s^2 = 36 \quad \Rightarrow \quad s^2 = 144 \quad \Rightarrow \quad s = 12 \text{ cm}

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#### 6 hours
The product of two consecutive even integers is 168. Find the smaller...
Let integers: \(x\) and \(x + 2\)
\(x(x + 2) = 168 \Rightarrow x^2 + 2x - 168 = 0\)
Discriminant: \(4 + 672 = 676 = 26^2\)
\(x = \frac{-2 \pm 26}{2} \Rightarrow x = 12\) or \(x = -14\)
Smaller: 12 (positive solution)
A circle is inscribed in a square with side length 10 cm. What is the...
Square area: \(10^2 = 100\) cm²
Circle radius: \(5\) cm, area: \(\pi \times 5^2 = 25\pi\) cm²

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