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Home » for $0 < x < \frac\pi2$. - ToelettAPP

for $0 < x < \frac\pi2$. - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The triangle is confirmed as a right triangle. The area \(A\) of the triangle is:

📌 A = \frac{1}{2} \times 7 \times 24 = 84 \text{ cm}^2

📌 The semi-perimeter \(s\) is:

📌 s = \frac{7 + 24 + 25}{2} = 28 \text{ cm}

📌 The radius \(r\) of the inscribed circle is:

📌 r = \frac{A}{s} = \frac{84}{28} = 3 \text{ cm}

📌 \text{Area} = \pi r^2 = \pi \times 3^2 = 9\pi \text{ cm}^2

📌 Thus, the area of the inscribed circle is \(\boxed{9\pi}\).

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