Question

Find the coordinates of the center of the given circle

Answer 1

Center of given circle is (h,k)= (5,-3)

Option A is correct.

Step-by-step explanation:

We need to find the coordinates of the center of the given circle: $(x - 5)^2 + (y + 3)^2 = 25$

The standard equation of circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the center of circle and r is the radius of circle.

Now comparing the given equation with standard equation to find h and k

$(x - 5)^2 + (y + 3)^2 = 25$

Making it equivalent to standard equation:

$(x -(5))^2 + (y-(-3))^2 = 25$

By comparing, the value of h is 5 and k is -3

Hence center of given circle is (h,k)= (5,-3)

Option A is correct.

Keywords: Center of circle

Learn more about Center of circle at:

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