The round object that can touch the midpoints of all four edges of a window is illustrated by a circle with dimensions.(x-h)² + (y-k)² = r².
It should be noted that a midpoint is a point that is lying between two points and is in the middle of the line joining the two points.
Based on the information given, the center is (h,k) and tthe radius = r.
Top of the circle = (h,r+k) = midpoint of the window's top
The circle's bottom = (h,k-r)=midpoint of the window bottom
The left edge of the circle = (h-r, k)=midpoint of the window's left side
The right edge of the circle = (h+r, k)= midpoint of the window's right side
The window square is illustrated as 2r by 2r and its vertices are (h-r, r+k), (h+r, r+k), (h-r, r-k), (h+r, r-k).
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