Luigi plans to a*s an awning shaped like a sector of a circle to his restaurant, as shown by the shaded part of the sketch. He needs to tell the awning company the number of square yards of canvas needed for the awning.
The AREA of a FULL CIRCLE is pi r^2 (r=radius = 36 feet in this question)
THIS area is a FRACTION of 360 degrees (FULL circle) Specifically 120/360 fraction of a full circle
so the area needed is 120/360 pi (36)^2 = 1357.16 sq FEET
there are 3x 3 = 9 sq feet in EACH sq YARD
1357.16/9 = 150.8 sq yards