#include #include#include #include #include using namespace std;int main (){ const double PI = 3.14159265359; return 0;} In this exercise, we will either have a circle insidea polygon for which we will calculate thecircumference, or we shall have a polygon insidea circle for which we will calculate its perimeter(circumference).You are required to write a program that acceptsone of two strings:• "CC" which refers to the case CircleCircumference.• "PP" which refers to the case PolygonPerimeter.If the user chooses CC, then the program waitsfor the user to input the number of sides of thepolygon first, then the length of one of its sides. Itoutputs the circumference of the largest circlethat can fit inside this polygon.If the user chooses PP, then the program waitsfor the user to input the number of sides of thepolygon first, then the radius of the circle. Itoutputs the circumference of the largest polygonthat fits inside the circle.MEA circle inside a hexagon (polygon with 6 sides)An octagon (polygon with 8 sides) inside a circleHint: To solve this program, it might be easier todivide the polygon into triangles all connected atthe center. This way, as you already know thenumber of sides of the polygon, you can derivethe angles, and use basic geometry andtrigonometry to solve this question. IMPORTANT NOTE• The circle and the polygon share thesame center.• At all times, the sides of the circle andpolygon touch each other.• The number of polygon sides mustnever be less than five; otherwise, theprogram outputs invalid.• The radius and the length of a polygonside must be positive; otherwise, theprogram outputs invalid.• For any other wrong input, theprogram outputs invalid.• The result must only keep the first twodecimal digits with rounding.• Circumference and perimeter meanthe same thing.• Do not add any cout statementsexcept for the final answer as specifiedabove.• Do not add "Enter a nurmber", or anysimilar prompts.• Also note that the automatic grader iscase-sensitive; so "Invalid" is wrongbut "invalid" is correct.• You may add any librarles needed.I/0Program Input:• A single line that takes in a string valueto determine which shape to calculatethe circumference for.• A single line that takes in the numberof polygon sides• A single line that depending on thecase takes in either the circle radius orthe polygon side length.Program Output:• A single line that outputs either thecircumference of the circle or thepolygon perimeter rounded to thnearest two digits.Sample Testcase 0:Input:CC61.5Output:8.16Sample Testcase 1:Input:PPOutput:18.47Sample Testcase 2:Input:PP310Output:invalid

Question

#include #include#include #include #include using namespace std;int main (){    const double PI = 3.14159265359;    return 0;} In this exercise, we will either have a circle insidea polygon for which we will calculate thecircumference, or we shall have a polygon insidea circle for which we will calculate its perimeter(circumference).You are required to write a program that acceptsone of two strings:• &#34;CC&#34; which refers to the case CircleCircumference.• &#34;PP&#34; which refers to the case PolygonPerimeter.If the user chooses CC, then the program waitsfor the user to input the number of sides of thepolygon first, then the length of one of its sides. Itoutputs the circumference of the largest circlethat can fit inside this polygon.If the user chooses PP, then the program waitsfor the user to input the number of sides of thepolygon first, then the radius of the circle. Itoutputs the circumference of the largest polygonthat fits inside the circle.MEA circle inside a hexagon (polygon with 6 sides)An octagon (polygon with 8 sides) inside a circleHint: To solve this program, it might be easier todivide the polygon into triangles all connected atthe center. This way, as you already know thenumber of sides of the polygon, you can derivethe angles, and use basic geometry andtrigonometry to solve this question. IMPORTANT NOTE• The circle and the polygon share thesame center.• At all times, the sides of the circle andpolygon touch each other.• The number of polygon sides mustnever be less than five; otherwise, theprogram outputs invalid.• The radius and the length of a polygonside must be positive; otherwise, theprogram outputs invalid.• For any other wrong input, theprogram outputs invalid.• The result must only keep the first twodecimal digits with rounding.• Circumference and perimeter meanthe same thing.• Do not add any cout statementsexcept for the final answer as specifiedabove.• Do not add &#34;Enter a nurmber&#34;, or anysimilar prompts.• Also note that the automatic grader iscase-sensitive; so &#34;Invalid&#34; is wrongbut &#34;invalid&#34; is correct.• You may add any librarles needed.I/0Program Input:• A single line that takes in a string valueto determine which shape to calculatethe circumference for.• A single line that takes in the numberof polygon sides• A single line that depending on thecase takes in either the circle radius orthe polygon side length.Program Output:• A single line that outputs either thecircumference of the circle or thepolygon perimeter rounded to thnearest two digits.Sample Testcase 0:Input:CC61.5Output:8.16Sample Testcase 1:Input:PPOutput:18.47Sample Testcase 2:Input:PP310Output:invalid

Accepted Answer

Your C++ program is given below as you required with an output.