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Opener: On your new opener sheet, use the square below to help you explain 
           why the area formula (discussed last class) for regular polygons 
           works.  You have until 7:45.  (Remember that you must be working at 
           the bell in order to get credit).




                10




                                                                                  1
9.2: Circles and Regular Polygons




                                    8
  10                                    6




                                            2
1. Find the area of a regular heptagon with a side of 4 cm.




2. Find the area of a regular pentagon with an apothem of 3cm.




 Would you have to use trig if you were dealing with a hexagon?

 A nonagon?

 An equilateral triangle?




                                                                  3
3. Find the area of a circle with radius of 3x inches.




4. If a circle has an area of 12 cm2. Find the circumference.




                                                                4
Homework Questions: Take the next 5‐10 minutes to work with your partner 
on any homework questions that you had prior to class today.  




                                                                            5
Math Raffle:    All your work, as well as the original problem, should be written in 
                your notes for today.

                Only write your answer on the math raffle ticket.



Raffle #1:  If the area of a regular polygon is 302.4 cm2 and the apothem is 9.6 cm, 
            what is the perimeter of the polygon?




                                                                                        6
Raffle #2: Find the side length of a regular heptagon with a radius of 6 inches and 
           an area of 48 in2.




Raffle #3: Find the area of a regular octagon with a radius of 12 cm.




                                                                                       7
Raffle #4:  If the circumference of a circle is 13π inches, what is the area of the circle?




Raffle #5:  If an equilateral triangle is inscribed inside a circle of radius 20 ft, what is 
            the area of the region inside the circle but outside the triangle?




                                                                                                8
Raffle #6:  Find the shaded area of the regular hexagon donut below.


                 8
             8




                                                                       9
Exit Slip: Please complete #12 and 16 on page 603 with your partner.

          Turn in one sheet of paper with both names at the top of it. Next to one 
          name, put the letter A and next to the other name, put the letter B.

          Person A should be writing for the first problem, and person B should 
          be writing for the second problem. Show all your work and include labeled
          diagrams (just like we did in our notes today).

          For #12, keep your answer in terms of π (exact!).

          For #16, round to the nearest hundredth.




                                                                                      10

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