Transcript In the figure above, inscribed triangle ABC is equilateral. If the radius of the circle is r, then the length of.

In the figure above, inscribed triangle ABC is equilateral. If the radius of the circle
is r, then the length of arc AXB is
a)
b)
c)
d)
e)
A:
Explanation
An equilateral triangle has three equal sides, so the lengths of the three arcs must
be equal, and thus each arc is
of the circumference of the circle. The
circumference of the circle is 2r, so the length of arc AXB is
of 2 r, or
.