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Graphing a Circle

Module 20- The Cirlce

QuestionAnswer
What is the standard form equation for graphing a circle? (x-h)²+(y-k)²=r²
Define radius. The distance from the center of the circle to any point of the circle.
What is the difference between a parabola and a circle? Circles have an x² and a y². Parabolas have EITHER an x² or a y².. Not both.
What point is represented at (h,k)? The center of the circle.
What point is represented at (x,y)? Any point on the circle.
What is the center of the circle given this equation? x²+y²=4 (0,0)
How would you graph a circle with a center of (3,4) and a radius of 2? Plot the center at x=3, y=4. Then plot the points in each direction moving 2 units out. Up (3,6) Down (3,2) Left (1,4) Right (5,4) and then connect the points using a curved line.
What is the equation of a line given the center (4,4) and the radius 5? (x-4)²+(y-4)²=5²
What is the equation of a line given the center (-3,4) and the radius 2? (x+3)²+(y-4)²=2²
In the graph of the equation (x-3)²+(y-2)²=5, what is the distance between the center of the circle at any point on the circle? WHY? √5 because the formula (x-h)²+(y-k)²=r² so we take the √ of 5.
What is the center of this circle? (x-3)²+(y+1)²=25 (3,-1)
What is the radius of this circle? (x-3)²+(y+1)²=25 r=5 (square root of r²=25 is your answer)
Created by: bmuonio