SOLUTION: A computer screen is a coordinate plane in which each pixel is one unit. A typical computer screen measures 640 pixels horizontally and 480 pixels vertically. The origin of the pla

Question 200617This question is from textbook Geometry
: A computer screen is a coordinate plane in which each pixel is one unit. A typical computer screen measures 640 pixels horizontally and 480 pixels vertically. The origin of the plane is the upper left corner of the screen, so all x-coordinates are positive and all y-coordinates are negative.
A computer programmer wants to create a circle that is as large as possible for a typical screen. What is the equation of the circle?
This question is from textbook Geometry

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A computer screen is a coordinate plane in which each pixel is one unit. A typical computer screen measures 640 pixels horizontally and 480 pixels vertically. The origin of the plane is the upper left corner of the screen, so all x-coordinates are positive and all y-coordinates are negative.
A computer programmer wants to create a circle that is as large as possible for a typical screen. What is the equation of the circle?
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The diameter is limited to 480 pixels, so the radius is 240.
The center will lie on the horizontal line y = -240 and between the points (240,-240) and (400,-240).
For the center at (240,-240), it's
(x-240)^2 + (y+240)^2 = 240^2
That circle will be tangent to the top, bottom and left side.
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Changing the x term from x-240 to x-400 will move the circle from left to right.
At (x-400), the circle will be tangent to the top, bottom and right side.
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