Final answer:
To find the center and radius of the circumscribed circle of a triangle, we can use the circumcenter formula and find the intersection of the perpendicular bisectors. The radius will be the distance from the center to any of the vertices.
Step-by-step explanation:
The question asks about a circle that is circumscribed around a triangle with vertices at (0,0), (1,0), and (0,2).
To find the center and radius of the circumscribed circle, we can use the circumcenter formula for a triangle.
We know that the center of the circle will be the intersection of the perpendicular bisectors of the sides of the triangle. So, we need to find the equations of the perpendicular bisectors and solve them to find the point of intersection, which will give us the center of the circle. The radius of the circle will then be the distance from the center to any of the vertices of the triangle.