Question

question 2 of 10

which of the following is the equation for a circle with a radius of \\(r\\) and center at \\((h, v)\\)?

a. \\((x + h)^2 + (y + v)^2 = r^2\\)
b. \\((x - h)^2 + (y - v)^2 = r^2\\)
c. \\((x - v)^2 + (y - h)^2 = r^2\\)
d. \\(h^2 + v^2 = r^2\\)

Explanation:

State the standard equation of a circle

$$ (x - x_0)^2 + (y - y_0)^2 = r^2 $$

Substitute the given center and radius

$$
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$$

Answer:

• A. \((x + h)^2 + (y + v)^2 = r^2\)
• B. \((x - h)^2 + (y - v)^2 = r^2\) (Correct answer)
• C. \((x - v)^2 + (y - h)^2 = r^2\)
• D. \(h^2 + v^2 = r^2\)