In an arcade game, the "monster" is the ...

In an 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 central angle `60^(@)`. What is the perimeter of the monster in cm?

A

`pi +2`

B

`2pi`

C

`(5)/(3)pi`

D

`(5)/(3)pi+2`

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The correct Answer is:

D

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