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What is the equation of a circle with a center (1, -4) and raidus 2?​

1 Answer

3 votes

Answer:


(x-1)^2 + (y+4)^2=2^2

Explanation:

The equation of a circle is given by:


(x-a)^2 + (y-b)^2 = r^2

Where the center is (a,b) and the radius is r

Since center (1, -4), we can say :


(x-a)^2 + (y-b)^2\\(x-1)^2 + (y+4)^2

The right side would be
2^2

So the equation woud be:
(x-1)^2 + (y+4)^2=2^2

This is the equation of the circle, posted.

User Mohamed Abouelnasr
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