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Which of these correctly represents a circle with acenter of (5,-4) and a radius of 7?

Which of these correctly represents a circle with acenter of (5,-4) and a radius of-example-1
User Overthink
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1 Answer

7 votes

The equation for the circle with center at (a, b) and with radius r is written as


(x-a)^2+(y-b)^2=r^2_{}

The center point of the circle is given in the problem with the coordinates (5, -4) and the circle has a radius of 7. We have a = 5, b = -4, and r = 7. We substitute these values on the equation of the circle stated above, we get


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

Simplifying the equation, we get


(x-5)^2+(y+4)^2=49

which is the equation of the circle given in the problem.

User Srikanth AD
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7.2k points
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