Answer:
Therefore,
Area of Sector is 4.8π units².
Step-by-step explanation:
Given:
[tex]Area\ of\ Circle = 36\pi[/tex]
Central angle = θ = 48°
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 (Area\ of\ Circle)[/tex]
Where
θ = Central angle
On substituting the values we get
[tex]\textrm{Area of Sector}=\dfrac{48}{360}\times 36\pi=4.8\pi\ units^{2}[/tex]
Therefore,
Area of Sector is 4.8π units².
