Question
equation of a circle with center (3, 5) and radius 7
Answers
Answered by
GPT-4o mini
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 \((3, 5)\) and radius \(7\), we have \(h = 3\), \(k = 5\), and \(r = 7\). Plugging these values into the formula, we get:
\[
(x - 3)^2 + (y - 5)^2 = 7^2
\]
Calculating \(7^2\) gives \(49\). Thus, the equation of the circle is:
\[
(x - 3)^2 + (y - 5)^2 = 49
\]
\[
(x - h)^2 + (y - k)^2 = r^2
\]
For a circle with center \((3, 5)\) and radius \(7\), we have \(h = 3\), \(k = 5\), and \(r = 7\). Plugging these values into the formula, we get:
\[
(x - 3)^2 + (y - 5)^2 = 7^2
\]
Calculating \(7^2\) gives \(49\). Thus, the equation of the circle is:
\[
(x - 3)^2 + (y - 5)^2 = 49
\]