Using control flow statements $($if$/$elseif$/$else statements$),$ write a MATLAB code that tests the location of a given point $P(x_p,y_p)$ on a two dimensional plane with respect to

an annular ring of inner radius $R_i=1,$ outer radius $R_o=2$ centered at point $C(x_c,y_c).$ Use the following center point coordinates $x_c=2,y_c=3.$ In this problem, you will need to

report if the point $P$ lies:

a$.$ inside the annulus;

b$.$ on the annulus;

c$.$ beyond the outer radius;

d$.$ within the annulus.

Below is a schematic drawing of the annular ring.

Question:

Test the following four points and assign their location $($i$.$e$.,$ "inside", "outside", $"$on$",$ "within the annulus"$)$ to the variable names loc$\_$P$1,$ loc$\_$P$2,$ loc$\_$P$3,$ and

loc$\_$P$4,$ respectively. The value assigned will be a string type, for example: loc$\_$P$1=$"within the annulus"

$P1=(2,2\mathrm{.}5)$

$P2=(2\mathrm{.}6,4\mathrm{.}2)$

$P3=(4,3)$

$P4=(8,10)$

Hints:

You can calculate the distance between center point $C$ and the points $)=(1,2,3,4,$ then compare the value with the inner and outer radius.

The string$-$type variables are already defined for you to use. For example, the point P$4$ is beyond the outer radius, so you can use $2$ loc$\_$P$4=$c to assign the string value

"outside".Using control flow statements $($if$/$elseif$/$else statements$),$ write a MATLAB code that tests the location of a given point $P(x_p,y_p)$ on a two dimensional plane with respect to

an annular ring of inner radius $R_i=1,$ outer radius $R_o=2$ centered at point $C(x_c,y_c).$ Use the following center point coordinates $x_c=2,y_c=3.$ In this problem, you will need to

report if the point $P$ lies:

a$.$ inside the annulus;

b$.$ on the annulus;

c$.$ beyond the outer radius;

d$.$ within the annulus.

Below is a schematic drawing of the annular ring.

Question:

Test the following four points and assign their location $($i$.$e$.,$ "inside", "outside", $"$on$",$ "within the annulus"$)$ to the variable names loc$\_$P$1,$ loc$\_$P$2,$ loc$\_$P$3,$ and

loc$\_$P$4,$ respectively. The value assigned will be a string type, for example: loc$\_$P$1=$"within the annulus"

$P1=(2,2\mathrm{.}5)$

$P2=(2\mathrm{.}6,4\mathrm{.}2)$

$P3=(4,3)$

$P4=(8,10)$

Hints:

You can calculate the distance between center point $C$ and the points $)=(1,2,3,4,$ then compare the value with the inner and outer radius.

The string$-$type variables are already defined for you to use. For example, the point P$4$ is beyond the outer radius, so you can use $2$ loc$\_$P$4=$c to assign the string value

"outside".Using control flow statements $($if$/$elseif$/$else statements$),$ write a MATLAB code that tests the location of a given point $P(x_p,y_p)$ on a two dimensional plane with respect to

an annular ring of inner radius $R_i=1,$ outer radius $R_o=2$ centered at point $C(x_c,y_c).$ Use the following center point coordinates $x_c=2,y_c=3.$ In this problem, you will need to

report if the point $P$ lies:

a$.$ inside the annulus;

b$.$ on the annulus;

c$.$ beyond the outer radius;

d$.$ within the annulus.

Below is a schematic drawing of the annular ring.

Question:

Test the following four points and assign their location $($i$.$e$.,$ "inside", "outside", $"$on$",$ "within the annulus"$)$ to the variable names loc$\_$P$1,$ loc$\_$P$2,$ loc$\_$P$3,$ and

loc$\_$P$4,$ respectively. The value assigned will be a string type, for example: loc$\_$P$1=$"within the annulus"

$P1=(2,2\mathrm{.}5)$

$P2=(2\mathrm{.}6,4\mathrm{.}2)$

$P3=(4,3)$

$P4=(8,10)$

Hints:

You can calculate the distance between center point $C$ and the points