The area A of a sector of a circle of radius r formed by a central angle with radian measure \(\displaystyle\theta\) is

\(\displaystyle{A}={\frac{{{1}}}{{{2}}}}{r}^{{2}}\theta\)

Substitute r=29.2 m, \(\displaystyle\theta={\frac{{{5}\pi}}{{{6}}}}\) and solve for A

\(\displaystyle{A}={\frac{{{1}}}{{{2}}}}{\left({29.2}\ {m}\right)}^{{2}}\cdot{\frac{{{5}\pi}}{{{6}}}}\)

Use a calculator

\(\displaystyle{A}\approx{1116.1}\ {m}^{{2}}\)

\(\displaystyle{A}={\frac{{{1}}}{{{2}}}}{r}^{{2}}\theta\)

Substitute r=29.2 m, \(\displaystyle\theta={\frac{{{5}\pi}}{{{6}}}}\) and solve for A

\(\displaystyle{A}={\frac{{{1}}}{{{2}}}}{\left({29.2}\ {m}\right)}^{{2}}\cdot{\frac{{{5}\pi}}{{{6}}}}\)

Use a calculator

\(\displaystyle{A}\approx{1116.1}\ {m}^{{2}}\)