Answer: (x - 1)² + (y - 1)² = 25
Explanation:
The formula for a circle is (x - h)² + (y - k)² = r² where
- (h, k) is the center
- r is the radius
Typically, you are given the center and the radius. In this problem, you are given (x, y) so you must plug that into the equation to find r².
Given: (x, y) = (-3, 4) and (h, k) = (1, 1)
(-3 - 1)² + (4 - 1)² = r²
(-4)² + (3)² = r²
16 + 9 = r²
25 = r²
Next, input (h, k) and r² into the equation
(x - 1)² + (y - 1)² = 25