Question

In a arcade game, the "monster" is the shaded sector of a circle of radius 1 cm, as shown in the figure. The missing piece (the mouth) has a central angle of 60 degrees. What is the area of the monster in cm^2

Answer 1

5/6 pi
or, showing the reasoning,

(1 - 60/360) * pi * 1^2

Answer 2

5π+2

Answer 3

5/3pi