INTRODUCTION One way of computing the center of a circular region is to map three points on the circle. Assume that there are two non-parallel lines connecting the three points that are touching the boundary of the circular plane. By geometry weknow that the perpendicular bisectors of the two lines will pass through the center of the circle. See the illustration to the right Using the two line segments we can compute the slope of each line connecting the points. Using that information we can compute the center point of the circle and the radius of the circle The equations to compute the slopes of each line segment, PiP2 and P2P3, defined by the Cartesian coordinates of (x1.yi). (X2,), and (x3Jy) respectively are 12 23 The equations to compute the x and y coordinates for the center of the circle are m12 m 230%-%) + m23(x1 + X2)-m12(X2 + X3) 2(m23 - m12 12 The equation to compute the radius of the circle is An input data file called cart coordinates contains the input coordinates for numerous line segments. The data file is space delimited. When you examine the input file, the first record line is the control number to be used in INTRODUCTION One way of computing the center of a circular region is to map three points on the circle. Assume that there are two non-parallel lines connecting the three points that are touching the boundary of the circular plane. By geometry weknow that the perpendicular bisectors of the two lines will pass through the center of the circle. See the illustration to the right Using the two line segments we can compute the slope of each line connecting the points. Using that information we can compute the center point of the circle and the radius of the circle The equations to compute the slopes of each line segment, PiP2 and P2P3, defined by the Cartesian coordinates of (x1.yi). (X2,), and (x3Jy) respectively are 12 23 The equations to compute the x and y coordinates for the center of the circle are m12 m 230%-%) + m23(x1 + X2)-m12(X2 + X3) 2(m23 - m12 12 The equation to compute the radius of the circle is An input data file called cart coordinates contains the input coordinates for numerous line segments. The data file is space delimited. When you examine the input file, the first record line is the control number to be used in