SOLUTION: Can i get some help with this please! How do you Calculate the perpendicular bisector of A AND B and also calculate an equation for the circle of the segment which AB is a DIA

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Question 742072: Can i get some help with this please! How do you
Calculate the perpendicular bisector of A AND B and also calculate an equation for the circle of the segment which AB is a DIAMETER using the points below:
A(-3,1)B(5,6)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a bit of help.

Use midpoint formula for A and B. That will be the center of the circle you want to find. Use distance formula to find size of diameter or size of radius, depending on which points you choose. You could choose points A and B for the distance formula, which will give you DOUBLE the radius.

Center based on midpoint of A and B:
x=%28-3%2B5%29%2F2=1
y=%281%2B6%29%2F2=7%2F2=3%261%2F2

Size of Diameter:
If d = diameter, and r = radius,
sqrt%28%28-3-5%29%5E2%2B%281-6%29%5E2%29=d
you finish this for r.

Do you know what to do with the standard equation for a circle, %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
?



(One hint: (h, k) is the center.)