in a cellphone game, the 'monster' is the shaded sector of a circle of radius 1, as shown in the figure. the missing piece (the mouth) has a central angle of 60°. What is the perimeter of the 'monster'?
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Answer:
7.24 cm
Step-by-step explanation:
the monster including the mouth is a circle. the perimeter of the monster is the sum of twice the radius and the arc of the major sector(monster).
r = 1 cm
angle of sector (mouth) = 60⁰
angle of sector (monster) = 360⁰ - 60⁰ = 300⁰
Perimeter of monster = r + r + theta/360⁰ × 2πr
= 1 + 1 + 300⁰/360⁰ × 2 × 22/7 ×1
= 2 + 5/6 × 44/7
= 2 + 110/21
= 2 + 5.238
= 7.24 cm
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