Final answer:
To draw a circle on a coordinate plane with given points and a radius, find the center through the perpendicular bisector of a chord formed by the points and then draw the circle using the identified center and radius.
Step-by-step explanation:
To draw a circle on a coordinate plane given two points and the radius value, one would first need to find the center of the circle. This would typically involve using the midpoint formula if the two given points are the endpoints of a diameter.
To clarify the task, let's consider a scenario where we're given two points A = (0,0) and B = (2 m, 2 m), and we're told that these points lie on a circle with a radius of 2 m. Given that point B is not the origin, we can infer that these points may not necessarily be the endpoints of a diameter, so additional steps would be required to find the center.
The ancient Greeks were adept at geometry and knew the circumference of a circle as 2πr, where π is approximately 3.14159. However, in this case, since an explicit formula for the center is not provided by the coordinates alone, we may instead find the center of the circle by constructing perpendicular bisectors from each chord formed by our given points.
Where these bisectors intersect is the center of our circle. Once the center is found, we would plot this point on the coordinate system and, with a radius of 2 m, draw a circle around that center point.