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Question 836275: AB are the diameter of a circle. If A=(2,-6) and B=(4,2), write down the coordinates of the centre of the circle
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Find the midpoint of AB
Solved by pluggable solver: Midpoint |
The first point is (x1,y1). The second point is (x2,y2)
Since the first point is (2, -6), we can say (x1, y1) = (2, -6)
So , 
Since the second point is (4, 2), we can also say (x2, y2) = (4, 2)
So , 
Put this all together to get: , , , and 
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Finding the x coordinate of the midpoint: Add up the corresponding x coordinates x1 and x2 and divide that sum by 2
X Coordinate of Midpoint = 
X Coordinate of Midpoint = 
X Coordinate of Midpoint = 
X Coordinate of Midpoint = 
So the x coordinate of the midpoint is 3
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Finding the y coordinate of the midpoint: Add up the corresponding y coordinates y1 and y2 and divide that sum by 2
Y Coordinate of Midpoint = 
Y Coordinate of Midpoint = 
Y Coordinate of Midpoint = 
Y Coordinate of Midpoint = 
So the y coordinate of the midpoint is -2
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Summary:
The midpoint of the segment joining the two points (2, -6) and (4, 2) is (3, -2).
So the answer is (3, -2)
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So the center of the circle is (3,-2)
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