siriuskitwilson2714 siriuskitwilson2714
  • 26-02-2021
  • Mathematics
contestada

Halla la ecuación de la circunferencia con r=10 y cuyo centro es el punto medio que une los puntos del segmanto A=(-7,-6) B(3,14). Escribe la ecuación en la forma ordinaria.

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 27-02-2021

Responder:

(x + 2) ² + (y-4) ² = 100

Explicación paso a paso:

La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²

r es el radio

(x0, y0) es el centro

Dado que el centro representa el punto medio de (-7, -6) y (3,14)

x0 = -7 + 3/2

x0 = -4/2

x0 = -2

y0 = -6 + 14/2

y0 = 8/2

y0 = 4

Sustituir en la expresión

(x - (- 2)) ² + (y-4) ² = 10²

(x + 2) ² + (y-4) ² = 100

Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100

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