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## anonymous one year ago If the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center?

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1. rock_mit182

easy one fin the distance between those points

2. rock_mit182

p1 = (-4,1) p2 = (2,1) distance between P1 and P2 is given by : $\sqrt{(x _{2}-x _{1})^{2} + (y _{2}-y_{1})^2}$

3. disqin

Think! What's a diameter? . . . A line segments passing through the center that connects the opposite sides of circle. Plus, center lies at the mid point of the line. Hence center co-ordinates will be (by section method).. $x=\frac{x_1+x_2}{2}=-1$ and $y=\frac{y_1+y_2}{2}=1$

4. rock_mit182

now divide the distance by 2 since the diameter is equal to : 2r (where r is the radius)

5. anonymous

Thanks Guys C:

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