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What is the area of the region of the complex plane defined by |z - 3i| < 8?

 Jun 10, 2021
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\(|z|<8\) represents a circle with a radius of 8 centered at (0, 0), and the \(-3i\) simply shifts that circle upwards by 3 units. Therefore, the area is just the area of a circle with a radius of 8 and should be easily solvable by using the formula \(A=\pi r^2\), where A is the area of a circle and r is that circle's radius.

Can you finish it from there?

 Jun 10, 2021

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