For real numbers a,b(a>b>0), let
Area {(x,y):{x}^{2}+{y}^{2}\leq {a}^{2} and \frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}\geq 1}=30\pi
and
Area {(x,y):{x}^{2}+{y}^{2}\geq {b}^{2} and \frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}\leq 1}=18\pi
Then the value of (a−b)2 is equal to _____.
Held on 29 Jun 2022 · Verified 6 Jul 2026.
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