Write an equation of the circle with center (3, -6) and radius 5.
2 answers:
answer
(x-3)^2 + (y+6)^2 = 25
set up equation
the equation of a circle is (x - centerx)^2 + (y - centery)^2 = r^2
values
from the point (3,6) we know that centerx = 3 and centery = -6
since the radius is 5, r^2 = 5^2 = 25
plug in values
now that we have all the values, we plug them into (x - centerx)^2 + (y - centery)^2 = r^2
(x - centerx)^2 + (y - centery)^2 = r^2
(x - 3)^2 + (y-(-6))^2 = 25
(x-3)^2 + (y+6)^2 = 25
Answer:
formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.
1. Plug in center coordinates into formula
(x-3)^2 + (y-(-6))^2 = r^2
2. Plug in radius value
(x-3)^2 + (y-(-6))^2 = 5^2
3. Simplify:
(x-3)^2 + (y+6)^2 = 25
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