Answer: √13
Explanation:
To find the radius of a circle given its center and a point on the circle, you can use the distance formula. The radius is the distance between the center of the circle and any point on the circle.
Given the center (-1, 1) and a point on the circle (2, 3), we can calculate the radius as follows:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Substituting the values:
Distance = √[(2 - (-1))^2 + (3 - 1)^2]
= √[(2 + 1)^2 + (3 - 1)^2]
= √[3^2 + 2^2]
= √[9 + 4]
= √13
Therefore, the radius of the circle is √13.