The equation of a circle is used to calculate the radius and the center of the circle.
The equation of the circle is:
The given parameters are:
--- center
Tangent to both axes
The equation of a circle is:
where (h, k) is the center and
r is the radius.
If a circle is tangent to both axes, then
Where h and k have different signs
i.e.
This means that:
Divide both sides by 2
Recall that:
This means:
Recall that:
This means that:
Recall that:
Substitute values for h, k and r
Hence, the equation of the circle is:
See attachment for the graph of the circle
Read more about equations of circle at:
brainly.com/question/13392797