Question

write an equation for the locus of points that are 4 units from the orgin

Answer 1

so let the point be P(x, y) the origin is (0,0) so use the distance formula

as you know the distance between the 2 points is 4 units

so

\[4 = \sqrt{( x - 0)^2 + (y - 0)^2}\]

you need to simplify the equation.

to get the final answer. Which is a circle

\[x^2 + y^2 = 16\]