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Home » Thus, the area of the inscribed circle is \(\boxed9\pi\). - Veritas Home Health

Thus, the area of the inscribed circle is \(\boxed9\pi\). - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\(a^2 = 16\), \(b^2 = 9\) gives \((a, b) = (\pm 4, \pm 3)\)
\(a^2 = 25\), \(b^2 = 0\) gives \((a, b) = (\pm 5, 0)\)
Counting all combinations for \((a, b)\):
\((0, \pm 5)\) gives 2 points: \((3, 9), (3, -1)\)
\((\pm 4, \pm 3)\) gives 8 points: \((7, 7), (7, 1), (-1, 7), (-1, 1),...
\((\pm 3, \pm 4)\) gives 8 points: \((6, 8), (6, 0), (0, 8), (0, 0), (...
\((\pm 5, 0)\) gives 2 points: \((8, 4), (-2, 4)\)
Total integer points: \(2 + 8 + 8 + 2 = 20\).
Thus, the number of integer coordinate points on the circle is:
\boxed{20}

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