Question

Centro (2,3) r=4
centro (-1,4) r=2
Centro (0,-3) r= 4
Ayudaaa es urgente

Answer 1

Hola,

La ecuación de la circunferencia con Centro (h, k) se expresa como:

$(x - h) {}^{2} + (x - k) {}^{2} = {r}^{2}$
$--------------------------$

EJERCICIO 1:

Centro (2, 3); r=4.

$(x - h) {}^{2} + (x - k) {}^{2} = {r}^{2} \\ (x - 2) {}^{2} + (x - 3) {}^{2} = {4}^{2} \\ (x - 2) {}^{2} + (x - 3) {}^{2} = 16$

- Ecuación de la circunferencia:

$(x - 2) {}^{2} + (x - 3) {}^{2} = 16$

$--------------------------$

EJERCICIO 2:

Centro (- 1, 4); r = 2.

$(x - h) {}^{2} + (x - k) {}^{2} = {r}^{2} \\ (x - ( - 1)) {}^{2} + (x - 4) {}^{2} = {2}^{2} \\ (x + 1) {}^{2} + (x - 4) {}^{2} = 4$

- Ecuación de la circunferencia:

$(x + 1) {}^{2} + (x - 4) {}^{2} = 4$

$--------------------------$

EJERCICIO 3:

Centro (0, - 3); r = 4.

$(x - h) {}^{2} + (x - k) {}^{2} = {r}^{2} \\ (x - 0) {}^{2} + (x - ( - 3)) {}^{2} = {4}^{2} \\ x {}^{2} + (x + 3) {}^{2} = 16$

- Ecuación de la circunferencia:

$x {}^{2} + (x + 3) {}^{2} = 16$

$--------------------------$

Espero que te sirva, Saludos.