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Write the equation in standard form for this circle with center (0,-5) passing through (0,9/2)

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Final answer:

The equation in standard form for the circle with center (0, -5) passing through (0, 9/2) is x^2 + (y + 5)^2 = 49.

Step-by-step explanation:

To write the equation of a circle in standard form, we use the formula (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.

In this case, the center is (0, -5). The distance from the center to the point (0, 9/2) is the radius.

Using the distance formula, we find that the radius is 14/2.

Substituting the values into the equation, we get (x - 0)^2 + (y + 5)^2 = (14/2)^2.

This simplifies to x^2 + (y + 5)^2 = 49.

User Jet Basrawi
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