(x-1)²+y²=(x+1)²
y²=4x
(x-k²/4)²+(y-k)²=r²
r²=(1-k²/4)²+(-k)²
=1+k²/2+k^4/16
=(1+k²/4)²
(x-k²/4)²+(x+2√2+1-k)²=(1+k²/4)²
2x²+2(2√2+1-k)x+(2√2+1-k)²-k²=0
4(2√2+1-k)²-8(2√2+1-k)²+8k²=0
(2√2+1-k)²=2k²
2√2+1-k=√2k
k=(2√2+1)/(√2+1)=3-√2
r=1+k²/4=(15-6√2)/4
A=πr²=(297-180√2)π/4
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