Answer:
2.09 sq. units
Step-by-step explanation:
We can simply use the formula for area of a sector of a circle.
Area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where [tex]\theta[/tex] is the angle and r is the radius.
It is given that the angle is 15 and radius is 4. We plug them in and find the area:
[tex]\frac{\theta}{360}*\pi r^2\\=\frac{15}{360}*\pi (4)^2\\=\frac{1}{24}*16\pi\\=2.09[/tex]
Thus area of sector is 2.09 sq. units.
