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Inscribing a polygon

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A clock maker wishes to make a 24 hour clock by inscribing a regular 24-gon in a circle. Determine the measure of a central angle and the measure of a vertex angle of the polygon.

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https://brainmass.com/math/geometric-shapes/inscribing-a-polygon-5734

Solution Summary

This shows how to determine central angle and vertex angle for a given polygon.

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Approximation of Pi Using Inscribed Polygons: Archimedes

Archimedes found his approximation to Pi by inscribed polygons.

Start with a circle of radius 1 and a suitable starting polygon and solve for an inscribed polygon of 96 sides.

Next, start with a unit circle and appropriate inscribed regular polygon to approximate Pi using a regular inscribed n-gon with 4096 sides.

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