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The circle below is centered at the point (1, 2) and has a radius of length 3.

What is its equation?

The circle below is centered at the point (1, 2) and has a radius of length 3. What-example-1

1 Answer

1 vote

Answer:


(x - 1) {}^(2) + (y - 2) {}^(2) = 9

Explanation:

The general circle equation is


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

where r is the radius.

Since we know all the information just plug it in the equation above.


(x - 1) { }^(2) + (y - 2) {}^(2) = {3}^(2)

Simplify 3 squared.


(x - 1) {}^(2) + (y - 2) {}^(2) = 9

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