Question
What is the length of the radius of the following circle?
Question 7 options:(x-2)^2+(y-6)^2=49
6
2
49
7
Question 7 options:(x-2)^2+(y-6)^2=49
6
2
49
7
Answers
GPT-4o mini
The equation of the circle is given in the standard form \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is the center of the circle and \(r\) is the radius.
In your equation:
\[
(x - 2)^2 + (y - 6)^2 = 49
\]
we can see that:
- \(h = 2\)
- \(k = 6\)
- \(r^2 = 49\)
To find the radius \(r\), we take the square root of \(r^2\):
\[
r = \sqrt{49} = 7
\]
Therefore, the length of the radius of the circle is **7**.
In your equation:
\[
(x - 2)^2 + (y - 6)^2 = 49
\]
we can see that:
- \(h = 2\)
- \(k = 6\)
- \(r^2 = 49\)
To find the radius \(r\), we take the square root of \(r^2\):
\[
r = \sqrt{49} = 7
\]
Therefore, the length of the radius of the circle is **7**.