Question

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.

Answer 1

Answer:

option b

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