Question

quiz 12 (8.0, 8.1, 8.2)
due saturday by 11:59pm points 6 submitting an external tool
quiz 12 (8.0, 8.1, 8.2)
score: 0/5 answered: 0/5
question 1
write the equation of the circle centered at (-8,8) with diameter 20.
question help: message instructor

Explanation:

Step1: Recall the circle equation formula

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

Step2: Find the radius

Given the diameter is 20, the radius \(r=\frac{20}{2}=10\).

Step3: Substitute center and radius into the formula

The center is \((-8, 8)\), so \(h = -8\), \(k = 8\), and \(r = 10\). Substituting these into the formula: \((x - (-8))^2 + (y - 8)^2 = 10^2\), which simplifies to \((x + 8)^2 + (y - 8)^2 = 100\).

Answer:

\((x + 8)^2 + (y - 8)^2 = 100\)