Find the length of the radius of the given circle.
(x - 5)2 + (y + 3)2 = 25
The standard equation of a circle with center C ( h , k ) and radius r is as follows:
( x - h )^ 2 + ( y - k )^ 2 = r ^ 2
In your case r = sqrt( 25 ) = + OR - 5
Length can't be negative so r = 5
To find the length of the radius of the given circle, you can use the formula of the equation of a circle, which is:
(x - h)^2 + (y - k)^2 = r^2
In this case, the equation of the circle is:
(x - 5)^2 + (y + 3)^2 = 25
By comparing this equation to the general form of the equation of a circle, we can see that the center of the circle is located at the point (5, -3), and the radius of the circle is equal to the square root of the constant term, which is 25.
So, the length of the radius of the given circle is 5.