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11.4 Arc Lengths                                                      March 20, 2013




             Bellwork
         Figure  I ~ Figure  II. Find the ratio of the perimeters and the 
         ratio of the areas. Then find the unknown area.


                                                    Ratio of perimeters:  4:3; 
                                                    ratio of areas:  16:9; 
                                                    Unknown Area :33.75 ft 2




   2. Rectangle  I ~ Rectangle  II. 
   In Rectangle  I, the length is  20 feet & the perimeter is  64 feet. 
   In Rectangle  II, the width is  8 yards. 
   Find the ratio of the area of Rectangle  I to the area of Rectangle  II.
                             144 : 576
                                 1 : 4




                                   Mar 7­10:19 AM

HW pg. 749 #4­26 evens                                                                 1
11.4 Arc Lengths                                                                                March 20, 2013

                            11.4 Circumference & Arc Length

                                   Circumference of a Circle:
                                   C = 2πr   (Twinkle­twinkle)
                         The circumference of a circle is 28  What is the area of the circle?
                                                           π.




                                                Mar 7­10:29 AM

HW pg. 749 #4­26 evens                                                                                           2
11.4 Arc Lengths                                                           March 20, 2013




     Arc Length:  fraction of a circle's circumference

                        xo                    where x = the arc measure
                       360 *circumference
                       D



                                                       o
                                                                           M


                                                        0
                                                                      yd


                                                     28
                                                                6.5
                                                            C
                   C            B
                       4i
                       n




                                o
                               60
                           A                                N
            Length AB = ____                           Length minor arc
                                                       MN = ____




                                    Mar 7­11:51 AM

HW pg. 749 #4­26 evens                                                                      3
11.4 Arc Lengths                                                       March 20, 2013




                                                                   M
                                                              cm
                                                         22
                                                              P
                                                  Q
                                                         N
                  0
             50                                     Arc QN = 60 o
                                              Find the length of arc NM.

       Q              M

      diameter = 9 ft

    Length of QM = _______



                                         The length of AB is 6 π. Find the radius.

                                                                   120 o
                                                        A

                                                          r
                                                                           B




                             Mar 7­12:03 PM

HW pg. 749 #4­26 evens                                                                  4
11.4 Arc Lengths                          March 20, 2013




                         Mar 21­7:30 AM

HW pg. 749 #4­26 evens                                     5
11.4 Arc Lengths                             March 20, 2013




                     11.4 HW pg. 749 #4­26 evens




                            Mar 7­10:40 AM

HW pg. 749 #4­26 evens                                        6

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11.4 notes

  • 1. 11.4 Arc Lengths March 20, 2013 Bellwork Figure  I ~ Figure  II. Find the ratio of the perimeters and the  ratio of the areas. Then find the unknown area. Ratio of perimeters:  4:3;  ratio of areas:  16:9;  Unknown Area :33.75 ft 2 2. Rectangle  I ~ Rectangle  II.  In Rectangle  I, the length is  20 feet & the perimeter is  64 feet.  In Rectangle  II, the width is  8 yards.  Find the ratio of the area of Rectangle  I to the area of Rectangle  II. 144 : 576     1 : 4 Mar 7­10:19 AM HW pg. 749 #4­26 evens 1
  • 2. 11.4 Arc Lengths March 20, 2013 11.4 Circumference & Arc Length Circumference of a Circle: C = 2πr (Twinkle­twinkle) The circumference of a circle is 28  What is the area of the circle? π. Mar 7­10:29 AM HW pg. 749 #4­26 evens 2
  • 3. 11.4 Arc Lengths March 20, 2013 Arc Length:  fraction of a circle's circumference xo where x = the arc measure 360 *circumference D o M 0 yd 28 6.5 C C B 4i n o 60 A N Length AB = ____ Length minor arc MN = ____ Mar 7­11:51 AM HW pg. 749 #4­26 evens 3
  • 4. 11.4 Arc Lengths March 20, 2013 M cm 22 P Q N 0 50 Arc QN = 60 o Find the length of arc NM. Q M diameter = 9 ft Length of QM = _______ The length of AB is 6 π. Find the radius. 120 o A r B Mar 7­12:03 PM HW pg. 749 #4­26 evens 4
  • 5. 11.4 Arc Lengths March 20, 2013 Mar 21­7:30 AM HW pg. 749 #4­26 evens 5
  • 6. 11.4 Arc Lengths March 20, 2013 11.4 HW pg. 749 #4­26 evens Mar 7­10:40 AM HW pg. 749 #4­26 evens 6