Question

Determine o poligono regular cujos ângulos
centrais medem:
a)36
b) 40°​

Answer 1

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$\tt{a)}~\sf{a_c=\dfrac{360^\circ}{n}}\\\sf{36^\circ=\dfrac{360^\circ}{n}}\\\sf{36n=360}\\\sf{n=\dfrac{360}{36}=10\implies decágono}\\\tt{b)} ~\sf{n=\dfrac{360}{40}=9\implies eneágono}$