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Tasya [4]
2 years ago
12

Which equation is an equation of a circle with a radius of 2 and its center is at (4, -2)? (x - 4)² + (y + 2)² = 4 (x - 4)² + (y

+ 2)² = 2 (x + 4)² + (y - 2)² = 4

Mathematics
1 answer:
ozzi2 years ago
3 0

Answer:

(x-4)^2+(y+2)^2=4

Step-by-step explanation:

A circle is the set of all points on a plane at a given distance (radius) from a given point (center). The general equation of a circle with center (h,k) and radius r is given by:

(x-h)^2+(y-k)^2=r^2

Therefore, replacing the data provided into the previous equation:

Center=(4,-2)=(h,k)\\\\h=4\\\\k=-2\\\\Radius=2\\\\r=2

(x-(4))^2+(y-(-2))^2=(2)^2\\\\(x-4)^2+(y+2)^2=4

So, the equation of a circle with a radius of 2 and its center at (4,-2) is:

(x-4)^2+(y+2)^2=4

I attach you the graph.

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