find the surface area of a regular polygon inscribed in a cylinder in php

To find the surface area of a regular polygon inscribed in a cylinder, we need to know the height of the cylinder and the length of one side of the polygon. Here's the PHP code to calculate the surface area:

main.php
<?php
// Define variables
$numSides = 6;  // number of sides of the regular polygon
$radius = 5;    // radius of the inscribed circle
$height = 10;   // height of the cylinder

// Calculate the length of one side of the polygon
$sideLength = 2 * $radius * sin(pi()/$numSides);

// Calculate the surface area of the polygon
$polygonArea = 0.5 * $numSides * $sideLength * sqrt(pow($radius, 2) - pow($sideLength/2, 2));

// Calculate the surface area of the cylinder
$cylinderArea = 2 * pi() * $radius * $height;

// Calculate the total surface area
$totalArea = $cylinderArea + $polygonArea;

// Display the result
echo "The surface area of the regular polygon inscribed in the cylinder is: " . $totalArea . " square units.";
?>
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In this code, we first define the number of sides of the regular polygon, the radius of the inscribed circle, and the height of the cylinder. Then, we calculate the length of one side of the polygon using the formula sideLength = 2 * radius * sin(pi()/numSides). After that, we use the formula polygonArea = 0.5 * numSides * sideLength * sqrt(radius^2 - (sideLength/2)^2) to calculate the surface area of the polygon. Next, we use the formula cylinderArea = 2 * pi() * radius * height to calculate the surface area of the cylinder. Finally, we add the surface area of the polygon and the surface area of the cylinder to get the total surface area of the regular polygon inscribed in the cylinder.