Arcos e Ângulos

Visualizando o comprimento do arco
Mova os pontos A e B sobre a circunferência e compare o comprimento do arco com o tamanho linear.[br]Faça o comprimento do arco ser igual ao raio da circunferência.[br]Mude o raio da circunferência e note o que acontece com o ângulo do arco.
Marque as alternativas corretas.
Comparando arcos de mesmo comprimento e raios diferentes
Mova o carro vermelho.[br]Os carros verdes irão acompanhar o deslocamento do carro vermelho cada um em sua circunferência.[br]É possível mudar os raios das circunferências arrastando os pontos azuis.
Marque as afirmativas corretas.
Comparando comprimento do arco e as medidas do ângulo em radianos e graus
Arraste o carro na estrada retilínea e compare com o deslocamento do carro ao longo da pista circular.[br]O raio R é medido em metros e pode ser alterado.
Marque as afirmativas corretas onde:
Em 1792, durante a Revolução Francesa, houve na França uma reforma de pesos e medidas que culminou[br]na adoção de uma nova unidade de medida de abertura de ângulos. O objetivo era que a unidade de medida de abertura de ângulos ficasse em conformidade com o sistema métrico decimal. Assim, essa nova[br]unidade dividia o ângulo reto em 100 partes iguais, chamadas [b]grados (gr)[/b]. Um grado (1 gr) é, então, a unidade que divide o ângulo reto em 100 partes iguais, e um minuto é a unidade que divide o grado em 100 partes iguais, bem como um segundo é a unidade que divide o minuto em 100 partes iguais.[br]A ideia não foi muito bem-sucedida, mas atualmente ainda encontramos na maioria das calculadoras científicas as três unidades de medida: grau, radiano e grado. Respondam:
a)
A quantos grados equivale meia volta de circunferência? E uma volta inteira?
b)
A quantos grados equivale 1 rad?
c)
A quantos graus equivale 1 gr?
[b](UFSCar-SP)[/b] O gráfico em setores do círculo de centro O representa a distribuição das idades entre os eleitores de uma cidade. O diâmetro AB mede 10 cm e o comprimento do menor arco, AC, mede [math]\frac{5\pi}{3}[/math] cm.[br][img]data:image/png;base64,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[/img][br]O setor x representa todos os 8 000 eleitores com menos de 18 anos, e o setor y representa os eleitores[br]com idade entre 18 e 30 anos, cuja quantidade é:[br][br][size=50][b]Dica: Lembre-se a medida α, em radianos, de um arco AB pode ser obtida dividindo o comprimento desse arco pelo comprimento do raio dessa circunferência.[/b][/size]
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Information: Arcos e Ângulos