Answer :
The equation of the circle is x²+y²-x-y+0.25=0
What is a circle?
A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge. The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.
For a circle with radius r and center (h,k), its equation would be (x-h)² + (y-k)² = r²
Given, center is (0.5,0.5) and radius is 0.5, h=0.5, k=0.5, r=0.5
The equation becomes:
(x-0.5)² + (y-0.5)² = 0.5²
⇒x²+0.25-x+y²+0.25-y=0.25
⇒x²+y²-x-y+0.25=0
Thus, the equation of a circle becomes x²+y²-x-y+0.25=0
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