# Hard SAT Math Question 99 — Video Explanation | 1600.now

Source: https://1600.now/hard/99

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99

Let Circle A be defined as $(x-1)^2 + (y-3)^2 = 25$ and let Circle B be defined as $(x-6)^2 + (y-z)^2 = 81$. If Circle B intersects through the center of Circle A, what is a possible value of $z$?

A

$3\sqrt{12} + 3$

B

$2\sqrt{14}$

C

$2\sqrt{14} + 3$

D

$3\sqrt{12}$