Math Problem Statement
Find the relation of perimeter and area of a regular polygon with its circumradius
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Regular Polygons
Circumradius
Trigonometry
Formulas
P = 2nR sin(π/n)
A = (1/2) n R^2 sin(2π/n)
A = (P * R / 4) * tan(π/n)
Theorems
Sine Rule for Regular Polygons
Area of Polygon from Circumradius
Suitable Grade Level
Grades 10-12
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