Respuesta :

Answer:

Use the distance formula.

Step-by-step explanation:

d= [tex]\sqrt{(x2-x1)^{2} }+(y2-y1)^{2}[/tex]

(x,y)= (0,0)

(x2,y2)= (-8,6)

r=10

The radius of the circle will be "10".

According to the question,

  • [tex](x_1, y_1) = (0, 0)[/tex]
  • [tex](x_2, y_2) = (-8,6)[/tex]

As we know the formula,

→ [tex]d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

By substituting the values, we get

     [tex]= \sqrt{(-8-0)^2 +(6-0)^2}[/tex]

     [tex]= \sqrt{(-8)^2+(6)^2}[/tex]

     [tex]= \sqrt{64+36}[/tex]

     [tex]= \sqrt{100}[/tex]

     [tex]= 10[/tex]

Thus the response above is right.

Learn more about radius here:

https://brainly.com/question/21656988