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Zach · Q1

GeometrySequences & series

Let ana_n be the area bounded by the curves x=yx=y, x2+y2=nx^2+y^2=n and the positive xx-axis. What is ∑n=1100an\sum_{n=1}^{100}a_n?

A250π2\frac{250\pi}{2}
B50π4\frac{50\pi}{4}
C5050π8\frac{5050\pi}{8}
D3805π8\frac{3805\pi}{8}
E1502π150\sqrt2\pi

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