Consider the situation given below:
Let a regular polygon be inscribed in a sphere such that its circumcentre is at a distance r from the centre of the sphere of radius R. A point source of light is kept at the centre of the sphere. How can we calculate the area of the shadow made on the surface of the sphere.
I tried to use the relation: Ω=SR2
But of course that is the case when a circle would be inscribed. So can I somehow relate it for any general polygon?
A polygon that is inscribed in a sphere can be defined as a three-dimensional shape that has all its vertices lying on the sphere and connected to each other thus forming a closed geometrical shape.
A geometrical shape is one that can be defined as a mathematical shape that is perfectly regular, characterized by straight lines, angles, and points.
They are an area that is closed by a boundary which is arrived at by combining a specific number of points, angles, and lines.
Other examples of geometric shapes are:
Learn more about geometrical shapes at:
https://brainly.com/question/8430622
