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Cerrena [4.2K]
2 years ago
11

What is an equation of a circle whose center is at (2,-4) and is

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
6 0

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 (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

The circle has center at (2,-4), hence x_0 = 2, y_0 = -4.

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

#SPJ1

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