SOLUTION: I am having a lot of trouble with this concept. Can anyone help, please? Find the equation of a circle satisfying the given conditions. Center ​(−3​,&#8722

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Question 1128656: I am having a lot of trouble with this concept. Can anyone help, please?
Find the equation of a circle satisfying the given conditions.
Center ​(−3​,−1​) and radius 5√6
The equation of the circle in standard form is____. ​(Type an​ equation.)
Found 3 solutions by MathLover1, josgarithmetic, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the equation of a circle satisfying the given conditions.

Center ​​(h​,k%26%238203%3B)=(-3​,-1%26%238203%3B) and radius r=5sqrt%286%29

The equation of the circle in standard form is:
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
%28x-%28-3%29%29%5E2%2B%28y-%28-1%29%29%5E2=%285sqrt%286%29%29%5E2
%28x%2B3%29%5E2%2B%28y%2B1%29%5E2=25%2A6
%28x%2B3%29%5E2%2B%28y%2B1%29%5E2=150
The equation of the circle in standard form is %28x%2B3%29%5E2%2B%28y%2B1%29%5E2=150.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Typical form of equation for a circle:
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
r is size of the radius, and the center of the circle is (h,k).


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a circle satisfying the given conditions.
Center ​(−3​,−1​) and radius 5√6
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%28x-%28-3%29%29%5E2%2B%28y-%28-1%29%29%5E2=%285sqrt%286%29%29%5E2

highlight%28%28x%2B3%29%5E2%2B%28y%2B1%29%5E2=150%29

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

To get familiar more, closer and better with this concept, read the lesson
    - Standard equation of a circle
in this site.