The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

The circle has center at (2,-4), hence
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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An area of a circle is calculated by the formula pi(3.14) x radius^2 (squared)
This mean that you would have to type pi x 50^2 (squared) into your calculator which would equal 7853.98. Then round it up to equal 7854cm^2
13 and 2 are numbers you could use in graph☺