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Question Number 188908 by Best1 last updated on 08/Mar/23
the radius of a circle is 12cmunits  find the perimeter of a regular   inscribed   a. triangle  b.heptagon  c. decagon
$${the}\:{radius}\:{of}\:{a}\:{circle}\:{is}\:\mathrm{12}{cmunits} \\ $$$${find}\:{the}\:{perimeter}\:{of}\:{a}\:{regular}\: \\ $$$${inscribed}\: \\ $$$${a}.\:{triangle} \\ $$$${b}.{heptagon} \\ $$$${c}.\:{decagon} \\ $$
Answered by HeferH last updated on 09/Mar/23
 P = n∙r(√(2−2cos (((2π)/n))))   n: number of sides   r: inradius
$$\:{P}\:=\:{n}\centerdot{r}\sqrt{\mathrm{2}−\mathrm{2cos}\:\left(\frac{\mathrm{2}\pi}{{n}}\right)} \\ $$$$\:{n}:\:{number}\:{of}\:{sides} \\ $$$$\:{r}:\:{inradius} \\ $$

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