Answer:
Area of the sector = [tex]( (\frac{3\pi}{2})/2 )*(4)^2 = 12\pi = 37.699[/tex]
Step-by-step explanation:
Remember that the formula for the area of a circular sector is given by
Area of a circular sector = [tex]\frac{\theta}{2} r^2[/tex]
Where [tex]\theta[/tex] is the angle measures in radians, and [tex]r[/tex] is the radius of the circle.
For our problem
[tex]\theta = \frac{3\pi}{2}[/tex]
[tex]r = 4[/tex]
Therefore Area of the sector = [tex]( (\frac{3\pi}{2})/2 )*(4)^2 = 12\pi = 37.699[/tex]
