Answer:
a) [tex]\boxed{Area of Sector AOB = 23.3 units^2}[/tex]
b) [tex]\boxed{Arc Length = 5.84 units}[/tex]
Step-by-step explanation:
a) Area of Sector AOB = [tex]\frac{1}{2} r^2 \theta[/tex]
Where r = 8, θ = 41.8 degrees
Firstly, Angle in Radians
=> 41.8 degrees = 0.73 radians
So,
Area of Sector AOB = [tex]\frac{1}{2} (8)^2 (0.73)[/tex]
Area of Sector AOB = [tex]\frac{1}{2} (64)(0.73)[/tex]
Area of Sector AOB = 23.3 units²
b) Finding the length of minor arc AB
So,
Arc Length = Radius × [tex]\theta[/tex]
Where Radius = 8, [tex]\theta[/tex] = 0.73 radians
Arc Length AB = 8 * 0.73
Arc Length = 5.84 units
