Question

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

Answer 1

So what are the measure of the interior angles of the polygon?

Answer 2

I don't know, the question doesn't really specify the measures of the interior angles.

Answer 3

Formula for sum of the interior angles of a polygon (n-2) X180 deg

Answer 4

would it be 1,260? I don't know it that's correct.

Answer 5

if*

Answer 6

Thats correct. Now what would each interior angle be if the total is 1260?

Answer 7

140?

Answer 8

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?

Answer 9

How would I work that out?

Answer 10

What is this?

Answer 11

90 degrees?

Answer 12

No,,what does the line represent

Answer 13

I still don't get it.

Answer 14

radius

Answer 15

now look at my drawing what would A be?