Answer:
Therefore,
The area of the sector is 15.09 unit².
Step-by-step explanation:
Given:
Circle with,
radius = r = 6 unit
central angle = θ = 48°
pi = 3.143
To Find:
Area of sector = ?
Solution:
If 'θ' is in degree the area of sector is given as
[tex]\textrm{Area of Sector}=\dfrac{\theta}{360}\times \pi r^{2}[/tex]
Substituting the values we get
[tex]\textrm{Area of Sector}=\dfrac{48}{360}\times 3.143\times 6^{2}[/tex]
[tex]\textrm{Area of Sector}=15.0864=15.09\ unit^{2}[/tex] rounded to nearest hundredth
Therefore,
The area of the sector is 15.09 unit².
