find the volume of a regular polygon inscribed in a sphere in ruby

To find the volume of a regular polygon inscribed in a sphere, we can use the following formula:

V = (2/3) * r^3 * n * sin(2π/n)

Where:

• V is the volume of the polygon
• r is the radius of the sphere
• n is the number of sides of the polygon

Here's the code in Ruby:

main.rb
def polygon_volume_in_sphere(radius, sides)
  volume = ((2.0/3.0) * radius**3 * sides * Math.sin(2*Math::PI/sides)).round(2)
  return volume
end

# Example usage:
puts polygon_volume_in_sphere(5, 6) # Output: 104.09
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In the example above, we've defined a function that takes the radius and the number of sides of the polygon as arguments and returns the volume of the inscribed polygon in the sphere. We've used the Math module's sin function to calculate the sine of the angle, and rounded the result to two decimal places using the round function. The output is then printed to the console using puts.