ABC is an equilateral triangle of side 2 cm.  With A, B, C as center and radius 1 cm three area are drawn.  The area of region within the triangle bounded by three area is?

\((\sqrt {3} - \frac{\pi}{2})\) cm²

Area bound by three arcs = area of triangle - (3 × sector area)

                                     = \(\frac{\sqrt {3}}{4}\) (side)² - 3 × (\(\frac{60}{360} \pi \)(1)²)

                                     = \(\frac{\sqrt {3}}{4}\) × 4 - 3 × (\(\frac{1}{6} \pi \) )

                                     = (\(\sqrt {3} - \frac{\pi}{2}\)) cm²