Mathematics · Mensuration

A circular decorative wall clock with a radius of 20 cm has a design where a chord connects two points on the circumference. This chord, along with two radii, forms an equilateral triangle at the center of the clock face. The smaller segment created by this chord is painted in a contrasting color. What percentage of the clock's total area does this smaller painted segment represent? (Use π = 3.14, √3 = 1.732)