Question

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

Answer 1

Answer:

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

Step-by-step 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.

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