Answer:
[tex]12\pi[/tex] or 37.70 (rounded)
Step-by-step explanation:
To work this out you would first need to work out the area of this circle. You can do this by multiplying pi by the radius of 4 squared, this gives you 50.27 or [tex]16\pi[/tex].
Then in order to work out the area of this part of the circle you would have to divide the area 50.27 or 16pi by 4, this gives you 4 pi or 12.57. This is because the angle of the missing part is 90 degrees or a right angle, and because 360 divided by 4 is 90 this meant that the question is asking to work out [tex]\frac{3}{4}[/tex]of a circle and so by dividing it by 4 we are working out the area of one quadrant.
Then the final step is to multiply 4 pi or 12.57 by 3, this gives you 12 [tex]\pi[/tex] and 37.70.
1) Multiply pi by 4 squared.
[tex]\pi*4^{2} =16\pi or 50.27[/tex]
2) Divide 50.27 by 4.
[tex]16\pi or 50.27 /4=4\pi or 12.57[/tex]
3) Multiply 12.57 by 3.
[tex]12.57*3=12\pi or 37.70[/tex]
