Question

One way to inscribe an equilateral triangle in a circle is to first inscribe a(n):

A.Hexagon
B.Octagon
C.Pentagon
D.Square

Answer 1

A.Hexagon
.....................

Answer 2

Option: A is the correct answer.

A. Hexagon

Explanation:

The construction of an inscribe equilateral triangle in a circle is similar to the construction of inscribing a Hexagon inside the circle.

This is the largest equilateral triangle that is will fit in a circle with each vertex touching the circle. This is very similar to the construction of an inscribed hexagon, except we use every other vertex instead of all six.

Hence,

One way to inscribe an equilateral triangle in a circle is to first inscribe a(n):

A.Hexagon