A circle is represented by the equation shown below.

(x - 7)2 + (y - 8)2 = 121

Which statement is true?

The circle is centered at (7, 8) and has a diameter of 11.

The circle is centered at (7, 8) and has a radius of 11.

The circle is centered at (-7, -8) and has a radius of 11.

The circle is centered at (-7, -8) and has a diameter of 11.

Respuesta :

Answer:

option b

Step-by-step explanation:

We have  an equation of circle

[tex](x-7)^2+(y-8)^2=121[/tex]

We have to find the center of given circle and radius

We know that general  equation of circle with circle (a,b) and radius r

[tex](x-a)^2+(y-b)^2=r^2[/tex]

[tex](x-7)^2+(y-8)^2=(11)^2[/tex]

By comparing given equation with the general  equation of circle

We get centre at x=7 and y=8

Radius =11

Hence, the circle is centered at (7,8) and has a radius of 11.

Option b is true