I need to know the radius and center for this
equation. It is for circles.
256x² + 256y² = 64.
The equation of a circle is
(x - h)² + (y - k)² = r²
where the center is (h,k) and the radius is r.
256x² + 256y² = 64
Divide thru by 256
256x² 256y² 64
------- + ------ = -----
256 256 256
1 1 1
256x² 256y² 64
------- + ------ = -----
256 256 256
1 1 4
x² + y² = 1/4
Write x as (x - 0) and y as (y - 0)
(x - 0)² + (y - 0)² = 1/4
Compare to
(x - h)² + (y - k)² = r²
so h = 0, k = 0, r² = 1/4, so r = 1/2
Center = (h, k) = (0, 0), radius = 1/2
Edwin
AnlytcPhil@aol.com