Problem

Write the standard form of the equation of the circle described below.
Center (8,3),r=3

Answer

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Answer

The standard form of the equation of the circle is (x+8)2+(y3)2=9.

Steps

Step 1 :The standard form of the equation of a circle is given by (xa)2+(yb)2=r2, where (a,b) is the center of the circle and r is the radius.

Step 2 :In this case, the center of the circle is (8,3) and the radius is 3.

Step 3 :We substitute these values into the standard form to get the equation of the circle.

Step 4 :The equation is (x(8))2+(y(3))2=32.

Step 5 :The standard form of the equation of the circle is (x+8)2+(y3)2=9.

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