Find the center and the radius of the circle.
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A)(7, -9), r = 5
B)(9, -7), r = 25
C)(-9, 7), r = 5
D)(-7, 9), r = 25

Question

Find the center and the radius of the circle.
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A)(7, -9), r = 5 
B)(9, -7), r = 25 
C)(-9, 7), r = 5 
D)(-7, 9), r = 25

Quizplus · Accepted Answer

The center of the circle is represented by the coordinates (h,k) in the equation of a circle, which is:
(x - h)^2 + (y - k)^2 = r^2, where r is the radius of the circle.
Comparing the given equation with the standard equation of a circle, we have:
(h+8)^2 + (k-3)^2 = 25
Thus, we can see that the center of the circle is (-8, 3) and the radius is 5. Therefore, the correct choice is C. The center of the circle is (-9,7) and the radius is 5, which matches option (C). The other options have centers and/or radii that do not match the given circle.

Find the Center and the Radius of the Circle