Answer: (x - 2)² + (y - 3)² = 4
Explanation:
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle.
Given: (h, k) = (2, 3) and (x, y) = (2, 1)
Input those values to find r²:
(x - h)² + (y - k)² = r²
(2 - 2)² + (1 - 3)² = r²
0 + 4 = r²
4 = r²
Now input (h, k) = (2, 3) and r² = 4 into the equation of a circle:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - 3)² = 4