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###### Engineering · Computer Science
Question details

The following formula gives the distance between two points, (${x}_{1}$, ${y}_{1}$) and (${x}_{2}$, ${y}_{2}$) in the Cartesian plane:

Given the centre and a point on the circle, you can use this formula to find the radius of the circle. Write an interactive   C program that prompts the user to enter the centre 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 functions:

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

b. radius: This function takes as its parameters four numbers that represent the centre and a point on the circle, calls the function distance to find the radius of the circle, and returns the circle’s radius.

c. circumference: This function 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$\mathrm{\pi }$r)

d. area: This function 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 π${r}^{2}$.) Assume that π = 3.1416.