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
|
- See Figure S.22.3.
Area SS SS 713512222 S. - 36060 SS SSS^22 360120 16 13
- 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 - 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°.
%\WKHZRUNRI3UREOHPGͽZHKDYHWKHIROORZLQJ
$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