Area of a circle is π*r^2 so we have π * 30^2 = 900π feet^2
since a circle contains 6 sectors of 60 degrees each, the 60 degrees is the 1/6 of circle area
This is 900π / 6 feet^2 = 150π feet^2 since π=3.14159 we can say that the area of the sector will be
150 * 3.14159 =471.2385 feet^2
Answer the area of the 60 degrees sector will be 471.2385 feet^2