The circumference of a circle circumscribing an equilateral triangle is units. Find the number of square units in the area of the circle inscribed in the same triangle.

Source: NCTM Mathematics Teacher, February 2006

**SOLUTION**

**
**In equilateral triangle , angle bisector is also the perpendicular bisector of . That makes point I the circumcenter, the incenter, and the centroid of triangle .

because is the centroid

Area of incircle

**Answer**: square units

Advertisements