Three unit circles are tangent to each other, as shown in the figure . Find the area of the shaded region
.
+14915 Three unit circles are tangent to each other, as shown in the figure . Find the area of the shaded region.
Hello Guest!
\(A=3\cdot(2r^2)+3\cdot(\frac{\pi r^2}{3})+ (2r\cdot r\sqrt{3})-3\cdot (\pi r^2)\\ A=r^2\cdot (6+\pi +2\sqrt{3}-3\pi)\\ \)
\(A=2r^2\cdot (3+\sqrt{3}-\pi)\\ A=0.795229\ r^2\)
!
