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Home » Simplifying: \( 2(3w + 4) = 68 \) - RTA

Simplifying: \( 2(3w + 4) = 68 \) - RTA

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 First, calculate the hypotenuse $ c $ using the Pythagorean theorem:

📌 c = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 ext{ cm}

📌 Now substitute into the formula for $ r $:

📌 r = rac{5 + 12 - 13}{2} = rac{4}{2} = 2 ext{ cm}

📌 Thus, the radius of the inscribed circle is $ oxed{2} $ cm.

📌 Question: A square with side length $ 8 $ cm is inscribed in a circle. What is the number of centimeters in the circumference of the circle? Express your answer in terms of $ \pi $.

📌 Solution: The diagonal of the square is the diameter of the circle. For a square with side length $ s $, the diagonal $ d $ is:

📌 d = s\sqrt{2}

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