Answer:
The correct option is 30.6
Therefore,
Area of Sector is 30.6 units².
Step-by-step explanation:
Given:
Central angle = θ = 142°
Radius = r = 5 units
pi = 3.14
To Find:
Area of Sector = ?
Solution:
If the θ measured in degree then the Area of Sector is given as
[tex]\textrm{Area of Sector}=\dfrac{\theta}{360\°}\times \pi r^{2}[/tex]
Where r = radius, θ = Central angle
On substituting the values we get
[tex]\textrm{Area of Sector}=\dfrac{142}{360\°}\times \pi (5)^{2}[/tex]
[tex]\textrm{Area of Sector}=0.39\times 3.14\times (5)^{2}[/tex]
[tex]\textrm{Area of Sector}=30.615\ units^{2}[/tex]
Therefore,
Area of Sector is 30.6 units².
