Given the center and a point on the 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 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 center 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 2tr.) 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 ar2.) Assume that n = 3.1416

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The following formula gives the distance between two points, (x1, yl) and (x2, y2) in the Cartesian
plane:
V(x2 – x1)2 + (y2 – y)²
Transcribed Image Text:The following formula gives the distance between two points, (x1, yl) and (x2, y2) in the Cartesian plane: V(x2 – x1)2 + (y2 – y)²
Given the center and a point on the 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 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 center 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 2r.)
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 Ttr2.) Assume that ë = 3.1416
Transcribed Image Text:Given the center and a point on the 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 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 center 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 2r.) 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 Ttr2.) Assume that ë = 3.1416
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