Surface Area of Cap below, Top Part of Sphere

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How do I find the Surface Area of an oval cap below (Top of sphere)?

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Oval Cape

Internet is stating: 2πRh

However, a simple 8 radius circle is π * 8^2 = 201

So with 8 radius with height of 1: 2π * 8 * 1 = 50.24 (This is less than above, and doesn't make sense)

Not sure, what the real answer is.

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Hint:

Express $R$ in the area formula $A=2\pi hR$ in term of $h$ and $r$, which comes out as $$R= \frac12h\left(1+\frac{r^2}{h^2}\right)$$