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Home » A_p = 4 \pi a^2 - Sterling Industries

A_p = 4 \pi a^2 - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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The side length \(s\) of the original equilateral triangle is:
s = \frac{18}{3} = 6 \text{ cm}
The area \(A_1\) of an equilateral triangle with side \(s\) is:
A_1 = \frac{\sqrt{3}}{4} s^2 = \frac{\sqrt{3}}{4} \times 6^2 = \frac{\...
If each side is increased by 2 cm, the new side length is \(8\) cm. Th...
A_2 = \frac{\sqrt{3}}{4} \times 8^2 = \frac{\sqrt{3}}{4} \times 64 = 1...
A_2 - A_1 = 16\sqrt{3} - 9\sqrt{3} = 7\sqrt{3} \text{ square cm}
Thus, the area increases by \(\boxed{7\sqrt{3}}\) square cm.
A rectangle with dimensions 3 cm by 4 cm is inscribed in a circle. Wha...
The diagonal of the rectangle is the diameter of the circle. Using the...

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