What is the center and radius of the following circle:
(x - 3)2 + (y + 2)2 = 25
The center of the circle is (3, -2) and the radius is 5.
To find the center and radius of the given circle, we can use the standard form equation of a circle:
(x - h)² + (y - k)² = r²
Comparing the given equation to the standard form, we can determine the center and radius:
Center: (h, k) = (3, -2)
Radius:
The radius, r², is equal to the value on the right side of the equation, which is 25. Therefore, the radius is √25 = 5.
So, the center of the circle is (3, -2), and the radius is 5.