Question

homework assignment 8.0 circles
score: 0/7 answered: 0/7
question 1
write the equation of the circle centered at $(-1,9)$ with radius 8.
question help: video written example

Explanation:

Step1: Recall the standard circle equation

The standard form of the equation of a circle with center \((h, k)\) and radius \(r\) is \((x - h)^2 + (y - k)^2 = r^2\).

Step2: Identify \(h\), \(k\), and \(r\)

Given the center \((-1, 9)\), so \(h = -1\), \(k = 9\), and the radius \(r = 8\).

Step3: Substitute into the equation

Substitute \(h = -1\), \(k = 9\), and \(r = 8\) into the standard equation:

$$
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$$

Answer:

\((x + 1)^2 + (y - 9)^2 = 64\)