Which Latitude has the Smallest Radius?

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Homework Help Overview

The discussion revolves around determining which latitude, between 40°30'13" and 30°40'13", has the smallest radius. Participants are exploring the relationship between latitude and the size of the circles formed by these latitudes on the Earth's surface.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss converting latitude from DMS to decimal degrees and consider the implications of Earth's shape on the radius of latitudinal circles. There is questioning about the assumption that being farther from the equator correlates with a smaller radius.

Discussion Status

Some participants are clarifying the relationship between latitude and radius, with one confirming that the equator is at 0° and discussing the implications of latitude on the size of circles. There is an ongoing exploration of the reasoning behind the assumptions made regarding the sizes of the circles at different latitudes.

Contextual Notes

Participants note the elliptical shape of the Earth and its effect on the radius at different latitudes, as well as the definition of latitude and its measurement.

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Homework Statement



I need to find which latitude has the smallest radius.

40°30'13" or 30°40'13"

Homework Equations



-None-

The Attempt at a Solution



I converted from DMS to degree and got:

40°30'13" ≈ 40.72° and 30°40'13" ≈ 30.88°

Since the Earth is not a perfect sphere, I said that 40°30'13" has the smallest radius because it is farthest to the equater, meaning the farther you are to the equater, the smaller the radius.

I don't know if I did this right because I think it is means that each latitude has it's own circle, but I don't know how to get circles from latitudes.

Am I correct in my assumption that 40°30'13" is smaller because it is farther from the the equater?

*Knowing that at 0° the distance to the equater is greatest because of the elliptical form*
 
Last edited:
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darshanpatel said:
°

Homework Statement



I need to find which latitude has the smallest radius.

40°30'13" or 30°40'13"

Homework Equations



-None-

The Attempt at a Solution



I converted from DMS to degree and got:

40°30'13" ≈ 40.72° and 30°40'13" ≈ 30.88°

Since the Earth is not a perfect sphere, I said that 40°30'13" has the smallest radius because it is farthest to the equater, meaning the farther you are to the equater, the smaller the radius.

I don't know if I did this right because I think it is means that each latitude has it's own circle, but I don't know how to get circles from latitudes.

Am I correct in my assumption that 40°30'13" is smaller because it is farther from the the equater?

*Knowing that at 0° the distance to the equater is greatest because of the elliptical form*

On a globe of the earth, the latitudes are circles that are "parallel," and run east and west The longitudinal meridians run north and south and are also circles that intersect at the north and south poles.

The farther the latitude is from the equator, the smaller the circle, and hence, the smaller its radius.
 
Just for clarification, the equator is at 0° so the 40°30'13" has a smaller radius because it has a greater degree then 30°40'13"?
 
darshanpatel said:
Just for clarification, the equator is at 0° so the 40°30'13" has a smaller radius because it has a greater degree then 30°40'13"?

I had to look it up:

http://en.wikipedia.org/wiki/Latitude

So yes, the equator is 0 degrees, and the + direction goes north, and the - latitude direction goes south. Good job!
 
Last edited:
Ok, thanks!
 

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