[tex]25\pi[/tex]
1) The area of a sector of a circle can be found with the following formula:
[tex]\begin{gathered} A_S=\frac{\alpha}{360}\cdot\pi r² \\ A_s=\frac{90}{360}\dot{\cdot\pi(10)²} \\ A=\frac{\dot{100\pi}}{4} \\ A=25\pi \\ \end{gathered}[/tex]
2) Thus the area of the sector is 25π cm²
