SOLUTION: Find the standard equation of a circle which is centered at (-4,3) and tangent to the line y=-4x-30

Question 1042648: Find the standard equation of a circle which is centered at (-4,3) and tangent to the line y=-4x-30
Found 3 solutions by robertb, Alan3354, ikleyn:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Rewrite the equation of the line as 4x + y +30 = 0.
===> The distance of the center (-4,3) of the circle from the tangential line
4x + y +30 = 0 is given by , which, incidentally, is also the radius of the circle.
===> the standard equation of circle is , or
.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the standard equation of a circle which is centered at (-4,3) and tangent to the line y=-4x-30
-------------
Find the distance from the point to the line.
That's the radius.
Then
---
Answer by ikleyn(52754)   (Show Source): You can put this solution on YOUR website!
.
For the formula on the distance from a point to a straight line in a coordinate plane see the lesson
    - The distance from a point to a straight line in a coordinate plane
in this site.

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