Need help studying for my last math class for high school and my study guide says we have at least 4 problems like the on provided please help me and provide explanation!
Question: The 24 lines of longitude that approximate the 24 standard time zones are equally spaced around the equator.
A. Suppose you use 24centeral angles to divide a circle into 24 equal arcs. Express the measure of each angle in degrees and in radius?
B.The radius of the equator is about 3960 mi. About how wide is each time zone at the equator ?
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C.The radius of the artic circle is about 1580 mi. About how wide is each time zone in the arctic circle?
You've got 360 degrees to divide into 24 equal portions. 360/24 = ?
I think you mean "radians" not "radius" for the measure of the angle. 2 pi radians in 360 degrees.
radius \(r\) of the equator is 3960 miles, so the circumference is going to be \(C=2\pi r\), and each time zone will be 1/24 of that
similar computation for the arctic circle, except the radius will be different, of course.