Answer:
184.85 square mm
Step-by-step explanation:
The area of a sector of a circle is [tex]\frac{1}{2} r^{2} \theta[/tex], where r is the radius and [tex]\theta[/tex] is the angle in radians subtended by the arc at the centre of the circle.
Since, diameter = 40.6 mm
So, radius(r)=20.3 mm and [tex]\theta[/tex]=[tex]\frac{2 \pi}{7}[/tex] radians
So, area of sector= [tex]\frac{1}{2} r^{2} \theta[/tex]
=[tex]\frac{1}{2} (20.3)^2 (\frac{2 \times 3.14}{7})[/tex]
=184.85 square mm
