SOLUTION: A circle has its center at (-4, -2) and is tangent to the line 3x+4y-5=0. What is the area of the circle in sq. units?

Algebra ->  Circles -> SOLUTION: A circle has its center at (-4, -2) and is tangent to the line 3x+4y-5=0. What is the area of the circle in sq. units?      Log On


   

Question 880385: A circle has its center at (-4, -2) and is tangent to the line 3x+4y-5=0. What is the area of the circle in sq. units?
Answer by josgarithmetic(39618) About Me  (Show Source):
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Think about the graph of the system. A big part of answering is finding the line containing point (-4,-2) which is perpendicular to the given line 3x+4y-5=0. The distance from the point of intersection of the two lines to the point (-4,-2) is the length of the radius of the circle centered there; and knowing this radius, you can find the area of the circle.