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Home » Actually, the circle is inscribed: at \( x=0 \), both have \( y = \pm8 \), and for \( |x| > 0 \), ellipse allows larger \( x \), but circle restricts \( x^2 + y^2 = 64 \), so maximum \( y \) is bounded. - AMAZONAWS

Actually, the circle is inscribed: at \( x=0 \), both have \( y = \pm8 \), and for \( |x| > 0 \), ellipse allows larger \( x \), but circle restricts \( x^2 + y^2 = 64 \), so maximum \( y \) is bounded. - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
Actually, the circle is inscribed: at \( x=0 \), both have \( y = \pm8 \), and for \( |x| > 0 \), ellipse allows larger \( x \), but circle restricts \( x^2 + y^2 = 64 \), so maximum \( y \) is bounded.

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  • From second, \( y^2 = 64 - x^2 \). Substitute:
  • The increase in area is:
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