Homework: Static Methods

Implement $($i$.$e$.,$ provide the code for the body of$)$ the static method declared as follows:

$1****$

Checks whether the given point $($xCoord$,$ yCoord$)$ is inside the circle of

radius $1\mathrm{.}0$ centered at the point $(1\mathrm{.}0,1\mathrm{.}0).$

@param xCoord

$,$ the $x$ coordinate of the point

@param yCoord

the y coordinate of the point

areturn true if the point is inside the circle, false otherwise

$\frac{?}{?}$

private static boolean pointIsInCircle$($double xCoord, double yCoord$)\{$

$...$

$\}$

Implement the static method declared as follows:

$\frac{?}{?}****$

Generates $n$ pseudo$-$random points in the $[0\mathrm{.}0,2\mathrm{.}0)$ x $[0\mathrm{.}0,2\mathrm{.}0)$ square and

returns the number that fall in the circle of radius $1\mathrm{.}0$ centered at

the point $(1\mathrm{.}0,1\mathrm{.}0).$

eparam $n$

$,$ the number of points to generate

creturn the number of points that fall in the circle

$/$

private static int numberOfPointsInCircle$($int $n)\{$

$...$

$\}$

Note: Use pointIsInCircle in the implementation of numberofPointsInCircle.

Rewrite the main method in your solution to the Monte Carlo estimation of $$ lab so that it uses numberofPoints InCircle $($and indirectly pointIs InCircle$).$