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1) 5 min = 5/60 of 1 º [(5/60) / 360] * [2 π r] = length of subtended arc. substitute 3960 miles for r about 5.76 miles
2) First, what is 100% of the circumference of the circle? C = 2(pi)r = 2(pi)*12 = 24(pi) Now, only 30 degrees of the circle is being "arced." There are 360 degrees in a circle. So, the ratio being "arced." 30/360 = 1/12 So: Arc Length = Ratio * Circumference Arc = (1/12) * 24(pi) = 2(pi) cm
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