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Write the equation of the circle in standard form that has the following: Center (-5,7) and Radius = 4

1 Answer

5 votes

Answer:


(x+5)^(2)+(y-7)^(2) =16

Explanation:

The Standard Form of Circle Equation whose Center is at ( h , k) and Radius of r is given by


(x-h)^(2)+(y-k)^(2) =r^(2)

So for our Question

we have ( h , k ) = ( -5 , 7 ) and r = 4

By substitution


(x-(-5))^(2)+(y-7)^(2) =4^(2)

Simplify
(x+5)^(2)+(y-7)^(2) =16

Write the equation of the circle in standard form that has the following: Center (-5,7) and-example-1
User Xinyi Li
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