Answer:
545.1 mm²
Step-by-step explanation:
The ratio of the central angle of the sector to 360° = ratio of area of sector to area of circle
Since area of circle = [tex]\pi r^2[/tex]
The area of a sector can be determined by the relation:
[tex]\text{Area of sector} = \pi \times r^2 \times \dfrac{\text{Central Angle}}{360}\\= \pi \times 32^2 \times \dfrac{61}{360}\\\\= 545.1 \;\;mm^2[/tex]
