Express answer in exact form.

Mathematics

2 answers:

zepelin [54]3 years ago

7 0

I'm guessing that you want to find the segment area of a circle that has a radius AO = 8" and a chord AB with a length of 8".

Sine angle AOD = AE / OA
Sine angle AOD = 4 / 8
Sine angle AOD = .5
arc sine (.5) = 30 degrees
So, angle AOB = 60 degrees

Circle Area = PI * radius^2
Circle Area = 201.06
Sector Area = (60/360) * 201.06
Sector Area = 33.51

Line OE^2 = AO^2 -AE^2
Line OE^2 = 64 -16
Line OE = 6.9282032303 

Triangle AOB Area = OE*AE = 6.9282032303 * 4
Triangle AOB Area = 27.7128129211 

Segment Area = Sector Area -Triangle AOB Area
Segment Area = 33.51 -27.71
Segment Area = 5.80

Sedaia [141]3 years ago

6 0

A=(64/6 pie 18~3) inches 2

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Marta_Voda [28]

Answer:

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Step-by-step explanation:

Data provided in the question:

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Now,

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Therefore,

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miss Akunina [59]

Answer:

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Step-by-step explanation:

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