SOLUTION: A circle has center in the third quadrant, the first coordinate of its center is −4 , and is tangent to the lines ℓ1:x=4 and ℓ2:y=4 . The center of

Algebra.Com
Question 963873: A circle has center in the third quadrant, the first coordinate of its center is −4 , and is tangent to the lines ℓ1:x=4 and ℓ2:y=4 .

The center of the circle is at the point C:(__,__) , and the circle has radius r=___.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
With the center at , the distance to is .
So the radius of the circle is .
So then the distance from the y-center to the line is the same distance.


.
.
.
(-4,-4)
.
.
.


RELATED QUESTIONS

A circle of radius 5 has its center at the origin. Inside this circle there is a... (answered by ikleyn,Alan3354)
Suppose that a circle is tangent to both axes, is in the third quadrant, and has a radius (answered by ikleyn,MathLover1,MathTherapy)
A circle has its center at (-4, -2) and is tangent to the line 3x+4y-5=0. What is the... (answered by josgarithmetic)
A circle has its center at (6,7) and passes through (1,4). A second circle is tangent to (answered by Edwin McCravy)
A circle is tangent to the y-axis and has a radius of 3 units.The center of the circle is (answered by galactus)
Can you please hep me solve this question: Find the equation of the circle with its... (answered by Fombitz)
Can you please hep me solve this question: Find the equation of the circle with its... (answered by Fombitz)
A circle that has its center in the fourth quadrant touches the y-axis and intersects the (answered by Boreal)
Write an equation of a circle that is tangent to the y-axis and has its center at... (answered by macston)