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dangina [55]
3 years ago
13

PLEASE HELP I GIVE THANKS

Mathematics
1 answer:
Art [367]3 years ago
6 0
4x-10=18

4x=18+10

4x=28

x=28/4
<span>
x=7</span>
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Find the area of the shaded portion intersecting between the two circles.
stich3 [128]

Answer:

Area shaded portion = 16/3 π - 8√3

Step-by-step explanation:

The shaded portion consists of 2 equal segment

∵ Two circles have the same radii = 4

∵ The the length of the common chord of the two circles =  4

∴ The central angle of each segment = π/3 (60° equilateral Δ)

∵ Area segment = area sector - area Δ

∵ Area sector = 1/2 r²Ф = 1/2 × (4)² × π/3 = 8/3 π

∵ Area Δ = 1/4 s² √3 = 1/4 × (4)² × √3 = 4√3

∴ Area segment = 8/3 π - 4√3

∴ Area shaded portion = 2(8/3 π - 4√3) = 16/3 π - 8√3

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It would be helpful to draw out a diagram but I'll explain in words.

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