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Module 20- The Cirlce

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
What is the standard form equation for graphing a circle?   (x-h)²+(y-k)²=r²  
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Define radius.   The distance from the center of the circle to any point of the circle.  
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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.  
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What point is represented at (h,k)?   The center of the circle.  
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What point is represented at (x,y)?   Any point on the circle.  
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What is the center of the circle given this equation? x²+y²=4   (0,0)  
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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.  
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What is the equation of a line given the center (4,4) and the radius 5?   (x-4)²+(y-4)²=5²  
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What is the equation of a line given the center (-3,4) and the radius 2?   (x+3)²+(y-4)²=2²  
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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.  
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What is the center of this circle? (x-3)²+(y+1)²=25   (3,-1)  
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What is the radius of this circle? (x-3)²+(y+1)²=25   r=5 (square root of r²=25 is your answer)  
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