Write the standard equation for the circle center (10,-6), r=6

The standard form of a circle is (x-h)²+(y-k)²=r², where h is the x-value of the center coordinate and k is the y-value.

Therefore, since the center is (10,-6), h=10 and k=-6. The radius is 6 which means r=6.

Substitute these values into the standard form equation.

(x-(10))²+(y-(-6))²=(6)²
(x-10)²+(y+6)²=36

Therefore, the standard equation for the circle centered at (10,-6) where r=6 is (x-10)²+(y+6)²=36.

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