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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.

Verified Answer :

lublana

Answer:

option b

Step-by-step explanation:

We have  an equation of circle

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

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

\((x-a)^2+(y-b)^2=r^2\)

\((x-7)^2+(y-8)^2=(11)^2\)

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

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