Answer:
[tex]45.4 cm^2[/tex]
Step-by-step explanation:
The area of the sector of a circle is given as:
[tex]\frac{\alpha }{360} * \pi r^2[/tex]
where α = central angle of the sector
r = radius
The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:
A = [tex]160/360 * \pi * 5.7^2[/tex]
A = [tex]45.4 cm^2[/tex]
