The area of a sector may be obtained using the following formula.
[tex]A=r^2\cdot\frac{\theta\pi}{360}[/tex]
where r is the radius DE and θ is the central angle, 62°.
Substitute the values into the equation and then simplify the expression.
[tex]\begin{gathered} A=15^2\cdot\frac{62}{360}\cdot\pi \\ A\approx225\cdot0.1722\cdot\pi \\ A\approx121.74 \end{gathered}[/tex]
