Question

Find the center and radius of the circle. x2 + y2 = 5

Answer 1

The equation of a circle centered at the origin (0, 0) and with a radius r is:

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

We are given the equation of a circle:

`x^2+y^2=5`

Comparing the above equation, we have that:

`\begin{gathered} r^2=5 \\ \\ \text{ Therefore:} \\ \\ r=√(5) \end{gathered}`

Thus:

`\text{ The center of the circle is \lparen0, 0\rparen and its radius is }√(5)`