I'm assuming that 5π3 is in fact 5π/3
convert radian to degrees:
5π / 3 = 5(180°) / 3 = 900° / 3 = 300°
Area of the circle = π r²
A = 3.14 * (6 ft)²
A = 3.14 * 36 ft²
A = 113.04 ft²
Area of the sector:
113.04 ft² * 300°/360° = 94.2 ft²
The area of the sector formed by a central angle measuring 5π/3 radian is 94.2 ft²