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# Graphing a Circle

### Module 20- The Cirlce

Question | Answer |
---|---|

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? xÂ²+yÂ²=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)Â²+(y-2)Â²=5, what is the distance between the center of the circle at any point on the circle? WHY? | â5 because the formula (x-h)Â²+(y-k)Â²=rÂ² so we take the â 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