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Assume that the length of Earth's equator is exactly 25,100 miles and that the Earth 45˚ North Latitude, exactly halfway between the equator and the North Pole. What is the number of miles in the circumference of the circle on Earth parallel to the equator and through Lena, Wisconsin? Express your answer to the nearest hundred miles. (You may use a calculator for this problem.)

 

 

Confusedperson  Jun 21, 2018
 #1
avatar+87301 
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We need to find the radius of the Earth  as follows :

 

25100  = 2 pi * radius

 

25100 / [ 2 pi]  = radius

 

12550 / pi   =  radius  [in miles]

 

At  45°,  the radius of the smaller circle parallel to the equator running through Lena will be =

 

12550  /  [ √2 pi]  miles

 

So....the circumference  of this smaller circle will be   =

 

2 pi   [ 12550 / (√2 pi ) ] =

 

√2 * 12550  ≈  17,748 miles  = 17,700 miles

 

 

 

cool cool cool

CPhill  Jun 21, 2018
edited by CPhill  Jun 21, 2018

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