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bulgar [2K]
2 years ago
7

Please please please help!!

Mathematics
1 answer:
S_A_V [24]2 years ago
4 0

Answer:

  17π/2 square units

Step-by-step explanation:

The arc length is related to the angle and the radius by ...

  s = rθ . . . . . r is the radius; θ is the central angle in radians, s is the length

The angle 20° is equivalent to (20°)×(π/180°) = π/9 radians. Then the radius can be found from ...

  π/3 = r·π/9

  3 = r . . . . . . . . . multiply by 9/π

The area of a sector is ...

  A = 1/2r²θ

Here, the shaded sector has an angle measure in radians of 2π less the angle of the unshaded sector, π/9. That is, θ = 2 -π/9 = 17π/9. The area of the shading is ...

  A = 1/2(3²)(17π/9) = 17π/2 . . . . square units

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