Question

The area of an equilateral triangle ABC is `17320. 5 c m^2`. With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (`U

Answer 1

side of triangle=2r
area of triangle=`sqrt3/4r^2=17320.5`
`r^2=100^2`
r=100
area(shaded)=area triangle -3 area(sector) =`17320.5-3*(60/360)*3.14*100^2` =`1620.5 cm^2`