Find the standard form of the equation for the circle with the following properties.
Center $(9, \frac{7}{4})$ and tangent to the $y$ -axis

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Final Answer: The standard form of the equation for the circle is $(x - 9)^{2} + (y - \frac{7}{4})^{2} = 81$ .

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Step 1 ：The standard form of the equation for a circle is $(x - h)^{2} + (y - k)^{2} = r^{2}$ , where $(h, k)$ is the center of the circle and $r$ is the radius.

Step 2 ：Given that the circle is tangent to the y-axis, the radius of the circle is equal to the x-coordinate of the center. Therefore, the radius is 9.

Step 3 ：Substitute the center $(9, \frac{7}{4})$ and the radius 9 into the standard form of the equation for a circle to get the equation of the circle.

Step 4 ：The final equation is $(x - 9)^{2} + (y - \frac{7}{4})^{2} = 9^{2}$ .

Step 5 ：Final Answer: The standard form of the equation for the circle is $(x - 9)^{2} + (y - \frac{7}{4})^{2} = 81$ .

Find the standard form of the equation for the circle with the following properties.Center (9,74) and tangent to the y-axis

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Find the standard form of the equation for the circle with the following properties.
Center $(9, \frac{7}{4})$ and tangent to the $y$ -axis