MisterEko wrote:

Quick question, since I haven't been able to find the answer throughout the forum. When question says that circle is Xssqrd+Ysqrd=1, does that mean that radius of a circle on an XY plane is 1?

Appreciate the help guys!

THEORY:

In an x-y Cartesian coordinate system, the circle with center (a, b) and radius r is the set of all points (x, y) such that:

\((x-a)^2+(y-b)^2=r^2\)

This equation of the circle follows from the Pythagorean theorem applied to any point on the circle: as shown in the diagram above, the radius is the hypotenuse of a right-angled triangle whose other sides are of length x-a and y-b.

If the circle is centered at the origin (0, 0), then the equation simplifies to:

\(x^2+y^2=r^2\)

So, if you have x^2+y^2=1 then you know that this circle is centered at the origin and has the radius equal to \(\sqrt{1}=1\)

For more check:

math-coordinate-geometry-87652.htmlP.S. It's better to write "Xssqrd+Ysqrd=1" as x^2+y^2=1.

Crystal clear. Helpful as always. Thank you.