Question: . Inscribe a regular hexagon in the unit circle. Inscribe a regular dodecagon (12-gon) over the hexagon. Use special right triangles and the Pythagorean theorem
. I̲n̲s̲c̲r̲i̲b̲e̲ ̲a̲ ̲r̲e̲g̲u̲l̲a̲r̲ ̲h̲e̲x̲a̲g̲o̲n̲ ̲i̲n̲ ̲t̲h̲e̲ ̲u̲n̲i̲t̲ ̲c̲i̲r̲c̲l̲e̲.̲ ̲I̲n̲s̲c̲r̲i̲b̲e̲ ̲a̲ ̲r̲e̲g̲u̲l̲a̲r̲ ̲d̲o̲d̲e̲c̲a̲g̲o̲n̲ ̲(̲1̲2̲-̲g̲o̲n̲)̲ ̲o̲v̲e̲r̲ ̲t̲h̲e̲ ̲h̲e̲x̲a̲g̲o̲n̲.̲ ̲U̲s̲e̲ ̲s̲p̲e̲c̲i̲a̲l̲ ̲r̲i̲g̲h̲t̲ ̲t̲r̲i̲a̲n̲g̲l̲e̲s̲ ̲a̲n̲d̲ ̲t̲h̲e̲ ̲P̲y̲t̲h̲a̲g̲o̲r̲e̲a̲n̲ ̲t̲h̲e̲o̲r̲e̲m̲ ̲t̲o̲ ̲f̲i̲n̲d̲ ̲i̲t̲s̲ ̲p̲e̲r̲i̲m̲e̲t̲e̲r̲.̲ ̲I̲f̲ ̲t̲h̲i̲s̲ ̲p̲e̲r̲i̲m̲e̲t̲e̲r̲ ̲i̲s̲ ̲a̲ ̲l̲o̲w̲e̲r̲ ̲b̲o̲u̲n̲d̲ ̲f̲o̲r̲ ̲π̲,̲ ̲c̲o̲m̲p̲u̲t̲e̲ ̲t̲h̲e̲ ̲e̲r̲r̲o̲r̲ ̲w̲i̲t̲h̲ ̲a̲ ̲c̲a̲l̲c̲u̲l̲a̲t̲o̲r̲.̲
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
