In the standard equation of a circle (x-h)^2 = r^2, the radius is represented by R && the center is represented by (-h,-k)

TRUE or FALSE ?

Question

In the standard equation of a circle (x-h)^2 = r^2, the radius is represented by R && the center is represented by (-h,-k)

TRUE or FALSE ?

jim_thompson5910 · Answer

Did you mean (x-h)^2 + (y-k)^2 = r^2 ?

anonymous · Answer

@jim_thompson5910  YES LOL

jim_thompson5910 · Answer

The center of (x-h)^2 + (y-k)^2 = r^2 is (h,k) and not (-h,-k). This is something you'll just have to memorize.

anonymous · Answer

whys that ?

anonymous · Answer

so its false correct ?

jim_thompson5910 · Answer

Why is it (h,k) or why do you have to memorize it?

anonymous · Answer

why is it (h,k) ?

jim_thompson5910 · Answer

Start with x^2+y^2 = r^2. This is circle centered at (0,0)

If you replace 'x' with 'x-h', you'll shift the coordinate system or grid h units to the left...which in turn moves the circle h units to the right.

The same idea applies to y as well.