Answer:
[tex](x+2)^2 + (y-1)^2 = 25[/tex]
Step-by-step explanation:
We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).
Recall that the equation of a circle has the standard form:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Where (h, k) is the center and r is the radius.
Since our diameter is 10, our radius is 5.
And since the center is at (-2, 1), h = -2 and k = 1.
Substitute:
[tex]\displaystyle (x - (-2))^2 + (y - (1))^2 = (5)^2[/tex]
And simplify. Hence, our equation is:
[tex](x+2)^2 + (y-1)^2 = 25[/tex]
