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?
Answer & explanation
Correct answer: option 3
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