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11.5 Area of Sectors                                           March 21, 2013




    Bellwork




                                                     8.64 cm
                  about 56.5 cm.




                                                           100.53 cm




                          7.64 ft




                                    Mar 7­10:42 AM

HW pg. 758 #3­31 odds                                                           1
11.5 Area of Sectors                                              March 21, 2013




                                      11.5 Areas of Circles & Sectors

                        Area of Circle = πr2 (fuzzy wuzzy)




                                                         4.2 m




                       A circle has an area of  38.485 in2.
                                             ≈
                       What is the circumference of the circle?




                                        Mar 7­10:43 AM

HW pg. 758 #3­31 odds                                                              2
11.5 Area of Sectors                                         March 21, 2013




                       Find the area of the shaded region.



                                                                    20 in




                                     10 cm




                                        Mar 7­10:46 AM

HW pg. 758 #3­31 odds                                                         3
11.5 Area of Sectors                                                March 21, 2013




                   Sector of a Circle:
                   region bounded by 2 radii of a circle & the included arc




                 Formula for the Area of a Sector:
                 “portion of the circle times the area of the circle”

                                       Asector = x        πr2
                                                360

                                   o
                             120


                              r = 3 cm


                                                                               o
                                                                          60




                                                                r = 6cm




                                         Mar 7­10:48 AM

HW pg. 758 #3­31 odds                                                                4
11.5 Area of Sectors                                         March 21, 2013




                       Segment of a Circle:
                           region bounded by a chord of a circle
                            & the included arc




                                                       r = 8 cm




                                   Mar 7­11:35 AM

HW pg. 758 #3­31 odds                                                         5
11.5 Area of Sectors                                      March 21, 2013




                       Annulus:
                         region bounded by two concentric circles




                                  Mar 7­11:38 AM

HW pg. 758 #3­31 odds                                                      6
11.5 Area of Sectors                                                     March 21, 2013




                        R = 12cm
                        r = 9 cm

                          R
                                 r  



                           60o




                                                        The shaded area is 12π cm2.  
                                                        Find r.
                                                                 120o


                                                                          r




                                       Mar 7­11:39 AM

HW pg. 758 #3­31 odds                                                                     7
11.5 Area of Sectors                           March 21, 2013




                       11.5 HW pg. 758 #3-31 odds




                              Mar 7­11:41 AM

HW pg. 758 #3­31 odds                                           8

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11.5 notes

  • 1. 11.5 Area of Sectors March 21, 2013 Bellwork 8.64 cm about 56.5 cm. 100.53 cm 7.64 ft Mar 7­10:42 AM HW pg. 758 #3­31 odds 1
  • 2. 11.5 Area of Sectors March 21, 2013 11.5 Areas of Circles & Sectors Area of Circle = πr2 (fuzzy wuzzy) 4.2 m A circle has an area of  38.485 in2. ≈ What is the circumference of the circle? Mar 7­10:43 AM HW pg. 758 #3­31 odds 2
  • 3. 11.5 Area of Sectors March 21, 2013 Find the area of the shaded region. 20 in 10 cm Mar 7­10:46 AM HW pg. 758 #3­31 odds 3
  • 4. 11.5 Area of Sectors March 21, 2013 Sector of a Circle: region bounded by 2 radii of a circle & the included arc Formula for the Area of a Sector: “portion of the circle times the area of the circle” Asector = x πr2 360 o 120 r = 3 cm o 60 r = 6cm Mar 7­10:48 AM HW pg. 758 #3­31 odds 4
  • 5. 11.5 Area of Sectors March 21, 2013 Segment of a Circle: region bounded by a chord of a circle & the included arc r = 8 cm Mar 7­11:35 AM HW pg. 758 #3­31 odds 5
  • 6. 11.5 Area of Sectors March 21, 2013 Annulus: region bounded by two concentric circles Mar 7­11:38 AM HW pg. 758 #3­31 odds 6
  • 7. 11.5 Area of Sectors March 21, 2013 R = 12cm r = 9 cm R r   60o The shaded area is 12π cm2.   Find r. 120o r Mar 7­11:39 AM HW pg. 758 #3­31 odds 7
  • 8. 11.5 Area of Sectors March 21, 2013 11.5 HW pg. 758 #3-31 odds Mar 7­11:41 AM HW pg. 758 #3­31 odds 8