Mr. Franklin needs to draw a perfect circle. The endpoints of a diameter need to fall on (7, 1) and (-1, -1). Where should he locate the center of the circle? Midpoint =?
Final answer:
To find the center of the circle, calculate the midpoint of the diameter using the coordinates of the endpoints. The center of the circle should be located at (3, 0).
Explanation:
To find the center of the circle, we first need to find the midpoint of the diameter. The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the coordinates of the endpoints, we get:
Midpoint = ((7 + (-1)) / 2, (1 + (-1)) / 2) = (3, 0).
Therefore, Mr. Franklin should locate the center of the circle at (3, 0).
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