The given figure is created by using the arcs of quadrants with radii 1cm,2cm and 3cm.Find the total area of the shaded region.Take pi is equal to 3.14

Solution:To find
1.Find the area of all the smallest petals =8xarea of the smallest arc
2.Find the area of all the smallest petals =8xarea of the intermediate  arc
3.Find the area of all the smallest petals =8xarea of the biggest arc
4.The area of shaded region =8xarea of the smallest arc+8xarea of the biggest arc-8xarea of the intermediate  arc
5.The area of an arc=area of sector-area of the triangle inside =theta/360xx(radiu)^2-1/2x(radius)^2
6.Therefore ,
         1.The area of all the smallest petals=2.28cm^2
         2.The area of all the medium size  petals=9.12cm^2
         3.The area of all the largest petals=20.25cm^2
7.The entire shaded area in the figure=2.28cm^2+(20.25cm^2-9.12cm^2)=13.41cm^2(Answer)