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gizmo_the_mogwai [7]
3 years ago
10

Leave answer in exact form unless otherwise indicated.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

Area segment = 32/3 π - 16√3 inches²

Step-by-step explanation:

∵ The length of the chord is 8"

∵ The length of the radius of the circle is 8"

∴ the central angle of the segment is π/3 (60° the chord and the radii

   formed an equilateral triangle)

∵ The area of the segment = area the sector - area Δ

∵ Area sector = 1/2 r²Ф

∵ r = 8" and Ф = π/3

∴ Area sector = 1/2 (8²) (π/3) = 32/3 π inches²

∵ Area Δ = 1/4 s²√3

∵ The length of the side is 8"

∴ Area Δ = 1/4 (8²) √3 = 16√3 inches²

∴ Area segment = 32/3 π - 16√3 inches²

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KIM [24]
Explanation:

Starting with the first option, the square root of 12 and 8 isn’t a perfect square so it definitely can’t be reduced to 3/2.

It is the same for the second option as well.

Third option :
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Root of 16 is 4

6/4 = 3/2

Fourth option:
Root of 81 is 9
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9/6 = 3/2

Answer:

Therefore, the third and fourth options are the correct choices.

Hope this helped!
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4 0
3 years ago
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I am Lyosha [343]

Hey there!

In order for you to find the one that is equivalent to the given expression is to COMBINE YOUR LIKE TERMS then work from there!

12q + q^2 - 8 + q = ?

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60

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