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Rainbow [258]
3 years ago
15

Area of the shaded segment=

Mathematics
2 answers:
Serggg [28]3 years ago
8 0

Answer:

A

Step-by-step explanation:

The area of the shaded segment

= area of sector OAB - area of ΔOAB

area of sector = area of circle × fraction of circle, that is

A = πr² × fraction of circle

  = π × 6² × \frac{60}{360}

  = 36π × \frac{1}{6} = 6π units²

Area of triangle = 0.5 × 6 × 6 × sin60° = 18 × \frac{\sqrt{3} }{2} = 9\sqrt{3} units²

Hence

area of shaded segment = 6π - 9\sqrt{3} units² → A

Temka [501]3 years ago
5 0

Answer:

<u><em>Answer in Picture Below</em></u>

Step-by-step explanation:

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Step-by-step explanation:

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