+1042 Two circles intersect at two points, $P$ and $Q$. The equations of the two circles are $x^2 + (y - 1)^2 = 1$ and $(x - 1)^2 + y^2 = 1$. Find the length PQ.
+3388
Two circles intersect at two points, $P$ and $Q$.
The equations of the two circles are $x^2 + (y - 1)^2 = 1$ and $(x - 1)^2 + y^2 = 1$.
Find the length PQ.
x2 + (y – 1)2 = 1
and (x – 1)2 + y2 = 1
Use Desmos to plot both circles and note
that they intersect at the origin and at (1,1)
That makes PQ = sqrt(2)
.
