There are two circles with radius 6cm each.one of them passes through the center of the other.Find out the area of the common place intersected by the arcs of the two circles.
Hello
I'm not sure I understand correctly.
The area I think you want to find is twice the area of the shaded segment. Please see the attached sketch.
Area of segment = Area of sector - Area of triangle.
$\displaystyle
Area of overlap = 2[\frac{1}{3}*6^2\pi - \frac{1}{2}*6^2sin(120)]
$