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# Graphing The Circle

### tips and tricks on how to graph a circle

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

What is the standard equation for a circle? | (x-h)² + (y-k)² = r² |

How do you find the radius of a circle? | Use the distance formula(s) r=√((x-h)²+(y-k)²), r²=(x-h)²+(y-k)² |

What is the standard equation for the circle whose center is at (1,9) and whose radius is 5? | (x-1)²+(y-9)²=25 remember the equation (x-h)²+(y-k)² = r²? (h,k) represent the center of a circle. (1,9)and the radius is represented by r² (5) all you have to do is plug in the numbers! |

How would you find the center of a circle who is represented by the equation x²+y²=25 | First write the equation in standard form (x-o)²+(y-0)²=5² take a look at the standard equation for a circle (x-h)² +(y-k)²=r² now remember that (h,k) represents the center of the circle. Thus in this case it would be (0,0) |

How would you find the radius of a circle who is represented by the equation x²+y²=25 | First write the equation in standard form (x-o)²+(y-0)²=5² take a look at the standard equation for a circle (x-h)² +(y-k)²=r² now rember that all you have to do is find the square root of 25(r²) shown above in the equation. √25 = 5. The radius is 5 |

What is the differnce between the equation of a circle and the equation of a parabola? | A circle contains both x² and y² terms on the same side of the equation with equal coefficients etc. (x²+y²=25). and the equation for a parabola has either an x² term or a y² term but not both. (etc. x=y²-1) |

What is the midpoint of a diameter of a circle? | The midpoint is the center of the circle |

The radius is the distance from the center of the circle to....? | Any point of the circle |

Created by:
amiller1085