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Propósito
<p>Identificar los elementos de una circunferencia.</p><p>Resolver problemas reales donde para su solución se requiere calcular el área y/ o la longitus o perimetro de la circunferencia. </p>
Motivación
<p><em></em>¿ Te has preguntado cuál es la diferencia entre la circunferencia y el círculo?</p><p>Sabias que:</p><p>La tierra no es esférica por ello se dice que tiene un radio de 6371 km. </p>
Explicación
<p>LA CIRCUNFERENCIA</p><p>Una circunferencia está formada por los puntos del plano que estána igual distancia de un punto llamado centro. Tal distancia se denomina radio de la circunferencia.</p><p>La circunferencia divide al plano en 3 subconjuntos:</p><p>a) <b>Región interior</b>, que recibe el nombre de círculo y a la que pertenece el punto centro.</p><p>b) <b>Frontera</b><b>,</b> que es la circunferencia misma.</p><p>c) <b>Región exterior</b>, que queda afuera de ella.</p><p><img src="http://1.bp.blogspot.com/-OtrPVtSKdT0/VZgZyTMLi5I/AAAAAAAAAVU/0eApXhRRzuI/s1600/21.jpg"></p><p><br></p><p> <img src="http://4.bp.blogspot.com/-nduk_EpUSR4/VZgZ8qVfdkI/AAAAAAAAAVc/Asz-sPaBjVU/s1600/23.png"></p><p>ELEMENTOS DE UNA CIRCUNFERENCIA</p><p><img src="data:image/png;base64,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
Ejercicios
<p>ACTIVIDADES DE APRENDIZAJE </p><p>1. Trabajo en el libro del colegio. Matemáticas Vamos a Aprender del grado 9. Página 45.</p><p>2..Hallar el área y la longitud de una circunferencia cuyo diámetro mide la suma de los cuatro últimos dígitos de tu documento de identidad.</p><p><span></span>3. Hallar el radio de una circunferencia que tiene de área 450 cm<sup>2</sup>.</p><p><span></span>4. Una circunferencia tiene una longitud de 935,56 m, halle el diámetro.</p><p><span></span>5. Si la rueda de una bicicleta tiene 90 cm de diámetro, ¿Qué distancia recorre la bicicleta en cada giro de la rueda? ¿Qué distancia recorre en 7 giros? Se debe aproximar a la centésima, es decir a dos decimales.</p><p><br></p><p>Adicional se realizará una actividad en cartulina, para ello los estudiantes deben llevar compásd y escuadra. </p>
Evidencia
Evaluación
<p>Se realizo una prueba escrita. </p><p>Participacipación </p>
Bibliografía
<p><a href="https://www.problemasyecuaciones.com/geometria2D/area/circulo/calcular-area-perimetro-circunferencia-circulo-calculadora-problemas.html">https://www.problemasyecuaciones.com/geometria2D/a...</a></p><p>Vamos aprender Matemáticas grado 9. ediciones SM. S.A. 2017</p>
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