Answer:
Step-by-step explanation:
Given is a picture of circle with angle
BOC =7x-11
Also angle of arc BC = angle BOC = 3x+53
Since both are the same equate the two
[tex]7x-11=3x+534x=64x=16[/tex]
Now substitute this x value in any one of 3x+53 or 7x-11
Angle COB = angle BOC = 3x+53
= 48+53 = 101 degrees
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To find length of arc
Central angle = 101
Hence arc lengh =[tex]\frac{101}{360} 2(\pi r)\\=2\frac{101}{360}(3.14)(5)\\=8.81[/tex]
