+118658 find the area of the sector when radius =14 and angle = 120 degrees
Well the area of a circle is \(\pi r^2\)
and there are 360 degrees in a circle so
The area of the sector must
\(=\frac{120}{360}\times \pi r^2\\ =\frac{120}{360}\times \pi \times 14^2\\ =\frac{1}{3}\times \pi \times 196\\\)
1/3*pi*196 approx= 205.2507200345331582
\(Area \approx 205\;units^2\)
