Question

Which equation of a circle is represented by the graph?

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Question 3 options:

x squared plus y squared equals 5


open parentheses x minus 1 close parentheses squared plus open parentheses y minus 1 close parentheses squared equals 5


x squared plus y squared equals 25


open parentheses x minus 1 close parentheses squared plus open parentheses y minus 1 close parentheses squared equals 25

Answer 1

`x^2+y^2=25`

Explanation:

The given circle is centered at the origin;

The radius of the circle is

`r=|5-0|=5` units.

You could also count the boxes from the center to any of the given points to get the radius.

The equation of a circle centered at the origin is given by;

`x^2+y^2=r^2`

We substitute the radius to obtain;

`x^2+y^2=5^2`

The required equation is

`x^2+y^2=25`