Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 113: 61d

$672$ ft$^{2}$

The area of each sector formed by consecutive spokes can be found using the formula $A=\frac{1}{2}r^{2}\theta$ where $r=76$ ftand $\theta=\frac{2\pi}{27}$ radians: $A=\frac{1}{2}r^{2}\theta=\frac{1}{2}(76)^{2}(\frac{2\pi}{27})=672.07\approx672 ft^{2}$