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Qn2) The following formula gives the distance between two points (x1, y1) and (x2, y2) in the Cartesian plane: ? (x2 ? x1) 2 +

Qn2) The following formula gives the distance between two points (x1, y1) and (x2, y2) in the Cartesian plane: ? (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 the circle. Write a program that prompts the user to enter the center and a point on the circle. The program should then output the circles 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 parameters 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 circles radius.

(c) circumference: This method takes as its parameter a number that represents the radius of the circle and returns the circles circumference. (If r is the radius, the circumference is 2?r.) (d) area: This method takes as its parameter a number that represents the radius of the circle and returns the circles area. (If r is the radius, the area is ?r2 .)

(e) Assume that ? = 3.1416.

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