SOLUTION: A circle has a center of (-5,3) and passes through point (-1,7). Write an equation that represents the circle.
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Question 705922: A circle has a center of (-5,3) and passes through point (-1,7). Write an equation that represents the circle.
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A circle centered at )
with radius 
is represented by the equation: ^2\ +\ \left(y\ -\ k\right)^2\ =\ r^2)
.
You are given the values for 
and 
, and the value of is the distance from your given center to the given point on the circle. Use the distance formula:
^2\ +\ (y_1\ -\ y_2)^2})
So
^2\ +\ (y_1\ -\ y_2)^2)
where )
and )
are the coordinates of the given points.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Use distance formula to calculate the radius, the length from the point on the circle, (-1,7), and the center, (-5,3).
Using r for radius,
==
Your circle's equation is , and you can find r^2 from the previous use of the calculation of r.
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