Acircle is the collection of points in a plane that are the same distance from the radius. true or false?

The given statement:

"  A circle is the collection of points in a plane that are the same distance from the radius "

is a FALSE STATEMENT.

Circle--

It is the collections of all the points in a plane which are at the same distance from a fixed point on a plane.

The fixed distance is called the radius of the circle.

and the fixed point on the plane is called a center of a circle.

The general equation of the circle is given by:

(x-h)²+(y-k)²=r²

where (h,k) is the center of the circle and r is the radius of the circle.

           Hence, the statement is FALSE.

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