find the surface area of a regular polygon circumscribed around a sphere in php

To find the surface area of a regular polygon circumscribed around a sphere, we need to know the length of each side of the polygon and the radius of the sphere. Here's the PHP code to do so:

main.php
// define number of sides of the regular polygon
$n = 6;

// define radius of the sphere
$r = 3;

// calculate the length of each side of the polygon
$s = 2 * $r * sin(pi() / $n);

// calculate the surface area of the regular polygon
$area = $n * $s * $r;

echo "Surface area of the regular polygon circumscribed around the sphere: " . $area;
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In this code, we first define the number of sides of the regular polygon (in this case, 6). We then define the radius of the sphere (in this case, 3).

Next, we use the formula s = 2 * r * sin(pi() / n) to calculate the length of each side of the polygon. This formula takes the radius of the sphere r, the number of sides of the polygon n, and the value of pi (pi()) to calculate the length s.

Finally, we use the formula area = n * s * r to calculate the surface area of the regular polygon. This formula takes the number of sides of the polygon n, the length of each side s, and the radius of the sphere r to calculate the surface area area.

The result will be output as "Surface area of the regular polygon circumscribed around the sphere: [result]".