Exercise #

$5$ JAVA JAVA

:The following formula gives the distance between two points

$($

x

$1$

$,$

$$y

$1)$

$$and

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x

$2$

$,$

$$y

$2)$

$$in the Cartesian plane:

$()$

$+$

$()$

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

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$$distance: This method takes as its parameters four numbers that represent two points in the plane and returns the distance between them. Use the formula displayed above.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.

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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.

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If r is the radius, the area is r

$2$

$.$

$)$

e

$.$

$$Use Math.PI for the circle and circumference calculations.FORMAT THE VALUES WITH

$2$

$$DECIMAL PLACES.Sample input

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$$output:Enter the circle's center x and y coordinates:

$36$

Enter the x and y coordinates of a point on the the circle:

$48*************$

Radius

$=$

$1\mathrm{.}00$

Diameter

$=$

$2\mathrm{.}00$

Circumference

$=$

$6\mathrm{.}28$

Area

$=$

$3\mathrm{.}14$

Submission: Save the project as HW

$2$

$\_$

EX

$5$