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📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 \boxed{90\pi x^2}

📌 Question: Compute $ \tan 45^\circ $.

📌 Solution: The tangent of $ 45^\circ $ is defined as $ \frac{\sin 45^\circ}{\cos 45^\circ} = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1 $.

📌 Question: A circle is inscribed in a square of side length $ 8 \, \text{cm} $. What is the area of the circle?

📌 Solution: The diameter of the inscribed circle is equal to the side length of the square, which is $ 8 \, \text{cm} $. Therefore, the radius is $ \frac{8}{2} = 4 \, \text{cm} $. The area of the circle is:

📌 \pi (4)^2 = 16\pi \, \text{cm}^2.

📌 Question: A regular hexagon has a perimeter of $ 36 \, \text{cm} $. What is the area of the hexagon?

📌 Solution: The side length of the hexagon is $ \frac{36}{6} = 6 \, \text

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