Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1


So, for our question, we do the following.
$UHD DUHDFLUFOHíDUHDRIHDFKZHGJH
^222360    VLQ  FRV  360    VLQ  FRV ^22
 9  VLQ  FRV  VLQ  FRV 
11.31.

SS S


SSS


§·§· ̈ ̧ ̈ ̧©¹©¹  


  


|



  1. See Figure S.22.3.
    Area     SS SS 713512222    S.

  2. 36060 SS SSS^22   360120 16 13

  3. By the tangent/radius theorem, we have a right
    triangle, as shown in Figure S.22.4.
    The radius of the large circle is 622  7 85 , and the
    area between the circles is SSSS  ^22 ^2    ^22

  4. The shaded region in Figure S.22.5 is a “wedge” in a circle
    of radius 2. We are working with an interior
    angle x  | 180 3607 128.6°.
    %\WKHZRUNRI3UREOHPG௘ͽZHKDYHWKHIROORZLQJ
    $UHD 126.6 360   VLQ  FRV ^22
    126.6 360  VLQ  FRV  


S


S





 |


10


7


7


10


10


44


1


6

(^85)
13
13
Figure S.22.3
7
6
Figure S.22.4


2


2


x

Figure S.22.5
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