Question

I need help with steps on how to solve this :)

Answer 1

`x^2+y^2=2`

Step-by-step explanation:

In a unit circle:

• The centre, (h,k)= (0,0)

,

• The points(x,y)=(1,1) on the circle.

First, determine the radius using the Pythagorean Theorem:

`\begin{gathered} r^2=x^2+y^2 \\ r^2=1^2+1^2 \\ r^2=1+1 \\ r^2=2 \\ r=\sqrt[]{2}\text{ units} \end{gathered}`

Substituting the coordinates of the centre and radius into the general equation of the circle below:

`(x-h)^2+(y-k)^2=r^2`

We obtain:

`\begin{gathered} (x-0)^2+(y-0)^2=\sqrt[]{2}^2 \\ x^2+y^2=2 \end{gathered}`