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Omni-MATH / A circle is tangent to both branches of the hyperbola x²−20y²=24 as well as the x-axis. Compute the area of this circle.

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problem

A circle is tangent to both branches of the hyperbola x2−20y2=24x^{2}-20y^{2}=24 as well as the xx-axis. Compute the area of this circle.
Plain-text mathematical notation (without MathML)
A circle is tangent to both branches of the hyperbola x²−20y²=24 as well as the x-axis. Compute the area of this circle.
Original LaTeX notation
A circle is tangent to both branches of the hyperbola $x^{2}-20y^{2}=24$ as well as the $x$-axis. Compute the area of this circle.

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