Reference no: EM1349013

Q1) The following formula gives the distance between two points (x1, y1) and (x2, y2) in the Cartesian plane:

sqrt (x2-x1)^2 + (y2-y1)^2

Given the center and a point on a circle, you can use this formula to find the radius of a circle. Write a program that prompts the user to enter the center and a point on the circle. The program should then output the circle's radius, diameter, circumference, and area. Your program must have at least the following methods:

a. distance: This method takes as its parameters four numbers that represent two points in the plane and returns the distance between them.

b. Radius: This method takes as its parameter four numbers that represent the center and a point on the circle, calls the method distance to find the radius of the circle, and returns the circle's radius.

c. Circumference: This method takes as its parameter a number that represents the radius of the circle and returns the circle's circumference. (if r is the radius, the circumference is 2(Pi)r.)

d. Area: This method takes as its parameter a number that represents the radius of the circle and returns the circle's area. (If r is the radius, the area is (Pi)r^2.)

e. Assume that Pi =3.1416