Problema 49 - Polígono Regulares -Vol. 9
Enviado: 27 Mai 2025, 08:54
Calcular o comprimento do arco[tex3]\overset{\LARGE{\frown}}{ AB}[/tex3] se R = 2m.
Gabarito: A) [tex3]\pi [/tex3] m
Resposta
Gabarito: A) [tex3]\pi [/tex3] m
[tex3]\angle NMB \cong \angle MNA = \frac{45^o}{2} \implies \overset{\LARGE{\frown}}{MA}= \overset{\LARGE{\frown}} {NB} = 45^o \\
\therefore \overset{\LARGE{\frown}}{AB} = 180^0-90^o = 90^0 = \frac{\pi}{2}\\
C_{AB} = \frac{\pi R}{2} = \frac{2\pi}{2} = \boxed{\pi}m[/tex3]