The equation of a circle is #(x + 10)^2 + (y - 4)^2 = 100#. What is the center and radius of the circle?

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Answer 1 · 2018-03-18T16:43:49

Center is #(-10,4)# andradius is #10#.

If the center of circle is #(h,k)# and its radius is #r#, equatiion of circle is

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

Here equation of circle is #(x+10)^2+(y-4)^2=100# can be written as

#(x-(-10))^2+(y-4)^2=10^2#

Hence, center is #(-10,4)# andradius is #10#.

graph{((x+10)^2+(y-4)^2-100)((x+10)^2+(y-4)^2-0.2)=0 [-30.5, 13.5, -7.4, 14.6]}