Question

1. find the equation of the circle with center (2,3) and radius 5 formula $(x - h)^2+(y - k)^2=r^2$

Explanation:

Step1: Identify the values of \(h\), \(k\), and \(r\)

Given the center \((h,k)=(2,3)\) and radius \(r = 5\).

Step2: Substitute the values into the circle equation formula

The standard form of a circle's equation is \((x - h)^2+(y - k)^2=r^2\). Substituting \(h = 2\), \(k = 3\), and \(r = 5\) into the formula:

$$
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$$

Answer:

\((x - 2)^2+(y - 3)^2=25\)