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Question at position 9
What is the equation of a circle with center (8, 6) and radius 5?

Answer 1

The equation of a circle with center \((h, k)\) and radius \(r\) is given by the formula:

\[
(x - h)^2 + (y - k)^2 = r^2
\]

For a circle with center \((8, 6)\) and radius \(5\):

- \(h = 8\)
- \(k = 6\)
- \(r = 5\)

Substituting these values into the equation, we get:

\[
(x - 8)^2 + (y - 6)^2 = 5^2
\]

Simplifying this gives:

\[
(x - 8)^2 + (y - 6)^2 = 25
\]

Therefore, the equation of the circle is:

\[
(x - 8)^2 + (y - 6)^2 = 25
\]