Answer:
center : (-2, -2.5)
Explanation:
Midpoint point formula says that if there are two points (x1,y1) and (x2,y2) then
coordinate of midpoint is given by
midpoint (x1+x2)/2 , (y1+y2)/2
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In the problem, we have to find the center of circle of by using the midpoint formula.
Since the circle is circumscribed in square. Its center will be midpoint of either of the diagonal.
To find the center we can take coordinate of any of two diagonal points of square and find midpoint for this and that will be center of circle.
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1st diagonal pair(4,8) and (-8,-3)
Then midpoint is (4 + -8)/2 , (8+ -3)/2
midpoint (-2, -2.5)
Thus, center of circle is (-2,-2.5)
we can verify this by using other diagonal pair (-8,8) and (4,-3)
Midpoint in this case can be calculated as
midpoint (-8+4)/2 , (8 + -3)/2
midpoint (-2,-2.5)
Thus, we see that in both cases Midpoint is same and hence center is (-2, -2.5)