The equation of a circle in a plane with radius R and a center at point (x0, y0) is given by:
(x-x0)2+(y-y0)2=R2 The equation can also be written in the form:
-2x0x-2y0y+c=- (x2+y2) where c =x20+ y20-R2 Given the coordinates of three points (x1, y1) (x2, y2), and (x3, y3) it is possible to determine the radius and the coordinates of the center of the circ le that passes through the three points. This is done by substituting the coordinate of each of the points in the equation and solving the system of three linear equations for x0, y0, and c.
Write a program in a script file that calculates the coordinates of the center and the radius of a circle that passes through three given points. When executed 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.”, where xx.x stands for the calculated quantities rounded to the nearest tenth. Execute the program entering the following three points: (11.5, 5). (3.2, 8.6). and (-4.5, -6.8).
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
- A coil consists of 100 turns of wire in shape of circle placed in the y-z plane. The loop has an area of 1m² Two magnetic fields linking the surface of the loop: The first one is given by: B1 = -10ãt The second one is B, = 20ãsin(2w)t Are B1 and B2 dynamic or static: Select one: O a. B1 and B2 are dynamic O b. Bị and B, are static O c. Bị is dynamic and B2 is static O d. B1 is static and B2 is dynamicarrow_forwardVectors and Electromagneticscomplete solutionarrow_forwardA coil consists of 100 turns of wire in shape of circle placed in the y-z plane. The loop has an area of 1m² Two magnetic fields linking the surface of the loop: The first one is given by: B1 = –10ãt? The second one is B2 = 20xsin(2w)t Are B1 and B2 dynamic or static: Select one: a. B1 and B2 are dynamic b. Bị and B2 are static c. B1 is dynamic and B2 is static d. B1 is static and B2 is dynamic IIarrow_forward
- A coil consists of 100 turns of wire in shape of circle placed in the y-z plane. The loop has an area of 1m² Two magnetic fields linking the surface of the loop: The first one is given by: B1 = -10zt? The second one is B2 = 20ãsin(2w)t emf Select one: a. vm = 0 emf O b. emf 2000t %3D O c. m emf --4000.w.cos(2w)t O d. vm 2000t – 4000.w.cos(2w)t emfarrow_forwardin the question there is a zero at -sqrt(2) but in the answers its not written as a negative but a positive, so in the equation it ends up being (z - sqrt(2)) rather than (z + sqrt(2)), are you able to expain why its not a negative?arrow_forward6. What is the locus of the points defined by the relation: z2 -22 ? %3Darrow_forward
- The arms of the Maxwell's bridge are arranged for balanced condition as follows: R2-60092, R4-40002; R3-1K2 and C3-0.5µF. find the values of resistance R1 and inductance L1?arrow_forwardV=x2y+y3+xz4 Find the gradient of the scalar?arrow_forwardLet us define vector v as v=[3; 4;5]; What are the sizes of vector v? Find T=vv' by Matlab code and show the result. What are the sizes of T? Find K=v'v by Matlab code and show the result. What are the sizes of K? Apply the code L=v.*v and show the result. What are the sizes of L?arrow_forward
- What is the transverse axis of the hyperbola whose equation is 16y2 – x2 = 16? y =0 x = 16 y =4 x = 0 What is the directrix of the parabola (x + 5)2 = - 4(y + 1)? x = 1 y =1 y = 0 x = 0 From the equation of the circle with center O(−2,3) and radius r=4, which of the following points belong to the circle? (1, 5) (2 , 3) (-4 , 3) none of the choicesarrow_forwardHow can I compute for Mesh currents (I1, I2 and I3) and use it to solve for Branch currents (Iab, Iac, Ibc, Ibd, Icd and Ica) by using Maxwell's Mesh Equations?arrow_forwardQUESTION 5 Consider the complex number defined below. Z, = 1-j Convert Z1 to polar form and specify its angle in the box below in units of degrees. DO NOT ENTER UNITS IN THE ANSWER BOX BELOW.arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,