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To find the radius given three points, you will need to use the distance formula. First, find the distance between any two of the three points using the distance formula. Then, repeat this process for the other two pairs of points. The radius will be the same distance for all three points.
The distance formula is a mathematical equation used to find the distance between two points on a coordinate plane. It is given by: d = √[(x2 - x1)^2 + (y2 - y1)^2].
Yes, the Pythagorean theorem can be used to find the radius if the three points form a right triangle. The radius would be equal to the length of the hypotenuse of the triangle.
Yes, it is possible to find the radius even if the three points are not collinear. As long as the three points are equidistant from a single point (the center of the circle), the same distance formula can be used to find the radius.
Some real-world applications of finding the radius given three points include determining the size of a crater or impact site, calculating the distance between a satellite and a planet, and measuring the radius of a circular object or feature such as a tire or a circular pool.
