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Determine the equation of the circle with radius 7 and center (4,9).

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Answer:


\displaystyle{\left(x-4\right)^2 + \left(y-9\right)^2 = 49}

Step-by-step explanation:

The equation of a circle is:


\displaystyle{\left(x-h\right)^2 + \left(y-k\right)^2 = r^2}

Where (h,k) represents the center point and r is the radius. We know the center is at (4,9) and the radius is 7. Thus, substitute in the values:


\displaystyle{\left(x-4\right)^2 + \left(y-9\right)^2 = 7^2}

Which eventually becomes:


\displaystyle{\left(x-4\right)^2 + \left(y-9\right)^2 = 49}

User Wooseong Kim
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