Answer:
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.
Explanation:
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.