  he
figure on the right is a circle with radius a.
Its
equation is x2
+ y2
= a2.
Point P is located along the circumference at some angle Φ measured counterclockwise from the x-axis. Point Q is located exactly π radians (180 degrees) beyond P. By inspection, we ascertain that PQ = 2a
and
PQ is the longest line segment that will fit within
the figure. The
angle Φ
can
be assigned any value from 0 to 2π
radians (360 degrees) and PQ will always fit within
the figure.
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