Question
Asked Oct 25, 2019

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.)

Center 
(3, −4)
 and passes through 
(5, 3)
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Expert Answer

Step 1

We know that equation of circle with center (h,k) and radius r is 

(x-)(y-kr
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(x-)(y-kr

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Step 2

Here center of circle is (3,-4) , so h=3 and k=-4

(x-3)+(y+4)r
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(x-3)+(y+4)r

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Step 3

Since circle passes through (5,3) ,...

(5-3)+(3+4)r
4+49 =r2
r2 53
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(5-3)+(3+4)r 4+49 =r2 r2 53

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Tagged in

Math

Algebra

Equations and In-equations

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