Question - Equation of a Circle with Center and Radius
Solution:
The question is asking for the equation of the circle with a center at point (2, 0) and a radius of 2. It also requests that the circle be drawn.The equation of a circle in the coordinate plane with a center at (h, k) and radius r is given by:\[ (x - h)^2 + (y - k)^2 = r^2 \]For this circle:- h = 2- k = 0- r = 2So plugging these values into the equation, we get:\[ (x - 2)^2 + (y - 0)^2 = 2^2 \]\[ (x - 2)^2 + y^2 = 4 \]This is the equation of the circle with a center at (2, 0) and a radius of 2.To draw this circle, you would plot the center at (2, 0) and use a compass set to a width of 2 units (the radius) to draw the circumference, ensuring it is a perfect circle around the center point.
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