MATLAB 6th ed. Page 129 Question 21

The equation of a circle in a plane with radius R and a center at pointo isgiven by: The equation can also be written in the form: Given the coordinates of three points (x12) and (3. y3) it is possible to determine the radius and the coordinates of the center of the cirde that passes through the three points. This is done by substituting the cooedinate of each of the points in the equation and solving the system of three linear equations far xo. yo. and c. Write a program in a script fle that calculates the coordinates of the center and the radius of a dirde that passes through three given points. When exeouted the program asks the user to enter the coordinates of the three points. The program then calculates the center and radius and displays the results in the following format: The coordinates of the center are (xx.x, xx.x) and the radius is xx.x here xo.x stands or the calculated quantities rounded to the nearest tenth. Execute the program entering the following three poemts 116 ) 32 LE), and .5