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Home » x \approx 2.62 \quad \textbut exact form: x = \sqrt[3]18 - Ready Digital AB

x \approx 2.62 \quad \textbut exact form: x = \sqrt[3]18 - Ready Digital AB

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 There are \(\boxed{75}\) positive 3-digit numbers divisible by 12.**Question:** A wildlife habitat restoration specialist is designing a circular garden to support local biodiversity. The garden is to be inscribed in a square region with a side length of 10 meters. What is the area of the circular garden?

📌 The circular garden is inscribed in a square with side length 10 meters, meaning the diameter of the circle is equal to the side number of the square. Therefore, the diameter \( d = 10 \) meters. The radius \( r \) of the circle is half of the diameter:

📌 \[ r = \frac{d}{2} = \frac{10}{2} = 5 \text{ meters} \]

📌 The area \( A \) of the circle is given by the formula:

📌 \[ A = \pi r^2 = \pi (5)^2 = 25\pi \text{ square meters} \]

📌 Hence, the area of the circular garden is \(\boxed{25\pi}\) square meters.

📌 Question:** A mammalogist studying the Arctic tundra uses a triangular net to trap tracks of mammals for observation. The net is in the shape of a right triangle with legs measuring 5 meters and 12 meters. What is the radius of the circle that can be inscribed within this triangle?

📌 For a right triangle, the radius \( r \) of the inscribed circle can be calculated using the formula:

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