Write an equation of a circle with center (2, 3) and radius 4.5.
(x-2)^2 + (y-3)^2 = 4.5^2
To write the equation of a circle, we need the center coordinates (h, k) and the radius (r). In this case, the center is (2, 3) and the radius is 4.5.
The equation of a circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the given values, we have:
(x - 2)^2 + (y - 3)^2 = 4.5^2
Simplifying, the equation of the circle is:
(x - 2)^2 + (y - 3)^2 = 20.25
The equation of a circle with center (h, k) and radius r is given by (x - h)^2 + (y - k)^2 = r^2.
In this case, the center is (2, 3) and the radius is 4.5. Substituting these values into the equation, we get:
(x - 2)^2 + (y - 3)^2 = 4.5^2
Expanding and simplifying, we have:
(x - 2)^2 + (y - 3)^2 = 20.25
Therefore, the equation of the circle with center (2, 3) and radius 4.5 is (x - 2)^2 + (y - 3)^2 = 20.25.