anonymous
  • anonymous
Determine the area of the shaded region, given that the radius of the circle is 3 units and the inscribed polygon is a regular polygon. Give two forms for the answer: an expression involving radicals or the trigonometric functions; a calculator approximation rounded to three decimal places. ?square units ≈ ? square units
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
So what are the measure of the interior angles of the polygon?
anonymous
  • anonymous
I don't know, the question doesn't really specify the measures of the interior angles.

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More answers

anonymous
  • anonymous
Formula for sum of the interior angles of a polygon (n-2) X180 deg
anonymous
  • anonymous
would it be 1,260? I don't know it that's correct.
anonymous
  • anonymous
if*
anonymous
  • anonymous
Thats correct. Now what would each interior angle be if the total is 1260?
anonymous
  • anonymous
|dw:1446859982514:dw|
anonymous
  • anonymous
140?
anonymous
  • anonymous
Right,,now look at my drawing..We draw lines from the center in bisect each ANGLE..so what would be the length of the sides A and what would be the angles B?
anonymous
  • anonymous
|dw:1446860318488:dw|
anonymous
  • anonymous
How would I work that out?
anonymous
  • anonymous
What is this?|dw:1446860593639:dw|
anonymous
  • anonymous
90 degrees?
anonymous
  • anonymous
No,,what does the line represent
anonymous
  • anonymous
I still don't get it.
anonymous
  • anonymous
radius
anonymous
  • anonymous
now look at my drawing what would A be?
anonymous
  • anonymous
|dw:1446860951265:dw|
anonymous
  • anonymous
|dw:1446861018014:dw|
anonymous
  • anonymous
Sorry must goo.hope this helps
anonymous
  • anonymous
ok thank you!
jim_thompson5910
  • jim_thompson5910
|dw:1446861517766:dw|
anonymous
  • anonymous
wouldn't it be 6sin (40)? I feel like it's wrong.
anonymous
  • anonymous
nope it's totally wrong.
anonymous
  • anonymous
The area of one triangle is (1/2)(3)(3) sin 40° = 4.5 sin 40° Your shape has 9 of those triangles.
anonymous
  • anonymous
then what's the next step?
anonymous
  • anonymous
Nevermind, I figured it out.

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