SOLUTION: one radius of a circle has endpoints D(2,4)and E(-1,2). a) find a possible endpoint for the diameter thaat contains this radius

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Question 893782: one radius of a circle has endpoints D(2,4)and E(-1,2).
a) find a possible endpoint for the diameter thaat contains this radius
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Choose either D or E as the center. Use distance formula to find the size of the radius, r.

r%5E2=%282-%28-1%29%29%5E2%2B%284-2%29%5E2
r%5E2=9%2B4
r%5E2=13

If D is the center, then equation for the circle is %28x-2%29%5E2%2B%28y-4%29%5E2=13.

If E is the center, then the equation of the circle is %28x%2B1%29%5E2%2B%28y-2%29%5E2=13.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

one radius of a circle has endpoints D(2,4)and E(-1,2).
a) find a possible endpoint for the diameter thaat contains this radius


END-POINT # 1

Using D(2, 4) as the center of the circle, or the midpoint of the diameter, and E(- 1, 2) as the

end-point of the radius, or one end-point of the diameter, other end-point of diameter is: (highlight_green%285%29,highlight_green%286%29) 

END-POINT # 2

Using E(- 1, 2) as the center of the circle, or the midpoint of the diameter, and D(2, 4)as the

end-point of the radius, or one end-point of the diameter, other end-point of diameter is: (highlight_green%28-+4%29,highlight_green%280%29) 

You can do the check!! 



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