An Elizabethan collar

An Elizabethan collar is used to prevent an animal from irritating a wound. The angle between the opening (diameter 6 inches) with a 16-inch diameter and the side of the collar is 53 degrees. Find the surface area of the collar shown.

Correct answer:

A =  216.3535 in2

Step-by-step explanation:

d1=6 in d2=16 in α=53   r1=d1/2=6/2=3 in r2=d2/2=16/2=8 in tan α = (r2r1):h  h=tanαr2r1=tan53° r2r1=tan53° 83=1.32704583=3.76777 in cos α = h:s  s=h/cosα=h/cos53° =3.7678/cos53° =3.7678/0.601815=6.26068 in  A=π (r1+r2) s=3.1416 (3+8) 6.2607=216.3535 in2

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