Question

ayudan porfis
Escribir una ecuación de la circunferencia de c (0,0) dado su radio.
A) r=3 b) r=7 c) r=
$\frac{9}{2}$
D) r=
$\sqrt{11}$
​

Answer 1

Respuesta:

a) r=3

$(x-h)^{2} +(y-k)^{2} =r^{2} \\ (x-0)^{2} +(y-0)^{2} =3^{2} \\x^{2} +y^{2} =9$

b) r=7

$(x-h)^{2} +(y-k)^{2} =r^{2} \\ (x-0)^{2} +(y-0)^{2} =7^{2} \\x^{2} +y^{2} =49$

c) r=9/2

$(x-h)^{2} +(y-k)^{2} =r^{2} \\ (x-0)^{2} +(y-0)^{2} =(\frac{9}{2} )^{2} \\x^{2} +y^{2} =\frac{81}{4} \\ 4x^{2} +4y^{2} = 81$

D) r=$\sqrt{11}$

$(x-h)^{2} +(y-k)^{2} =r^{2} \\ (x-0)^{2} +(y-0)^{2} =(\sqrt{11} )^{2} \\x^{2} +y^{2} =11$