Circle D has a radius of 38 and radii DE and DF form an angle of 168, how do you find the curved line of EF
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Circle D has a radius of 38 and radii DE and DF form an angle of 168, how do you find the curved line of EF

[From: ] [author: ] [Date: 11-08-07] [Hit: ]
youre looking for the length of the arc that is formed from a sector of 168 degrees on a circle with radius 38.s ≈ 111.(Consider what is the arc length of a complete circle? The circumference. What is the circumference ? πD which is the same as 2πr = rΘ since the angular extent is 2π)-EF = 168*2*pi*38/360 = 111.......
That curved line is known as an arc. So technically, you're looking for the length of the arc that is formed from a sector of 168 degrees on a circle with radius 38.

Arc EF = (38*2*pi)*(168/360) = 532pi/15

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Arc length = radius of arc * angular extent measured in radians

s = rΘ

s = 38(168*π/180) (assuming the 168 is measured in degrees and has to be converted to radians)
s ≈ 111.42

(Consider what is the arc length of a complete circle? The circumference. What is the circumference ? πD which is the same as 2πr = rΘ since the angular extent is 2π)

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EF = 168*2*pi*38/360 = 111.42
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