Aferris wheel car moves from point c to point d on the circle shown below: circle a is shown with a central angle marked 45 degrees and the diameter marked 15 feet. what is the arc length the car traveled, to the nearest hundredth?

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584