Explanation:
BA = radius
Radius = 6.5cm
< ABC = 23 degrees
pi = 3.14
[tex]\begin{gathered} \text{Area of a sector = }\frac{\theta}{360}\cdot\text{ }\pi\cdot r^2 \\ \text{Area of a sector = }\frac{23}{360}\text{ x 3.14 x 6.5 x 6.5} \\ \text{Area of a sector = }\frac{23\text{ x 3}.14\text{ x 6.5 x 6.5}}{360} \\ \text{Area of a sector = }\frac{3051.295}{360} \\ \text{Area of a sector = 8.5 cm}^2 \end{gathered}[/tex]
Therefore, the area of a sector is 8.5 square cm
