Let’s Examine 1° Angle to Figure Out If The Arc is Longer or Shorter Than The Outer Base Line

PhotoEditor_20190912_123841843.jpg

This picture is not 1°. Only to give an illustration and the formula of Inner Base Line, Outer Base Line and the Neck — with easier way,

Radius = 1,000,000 meters.

For 1°,

Inner Base Line = 17,453. 07 meters

Outer Base Line = 17,453. 73 meters

Pi’s 1° Arc = 17,453. 29 meters

Phew’s 1° Arc = 1/360 × 6.34314 × 1,000,000 meters = 17,619.85 meters

The Neck = 38.07 meters

This Neck can also be described as the DISTANCE between Inner Base Line and Outer Base Line, at which the Arc stays and goes curved from an edge of the base line to the center of the outer base line to its another edge.

The inner base line while shifting as far as the neck’s distance, to be at the position of the outer line, the additional length equals outer base line – inner base line = 17,453. 73 meters – 17,453. 07 meters = 0.66 meters AKA 66 centi meters.

The Question is: IS IT POSSIBLE IF ON A BASE LINE WITH 17s KILOMETERS LENGTH STAYING AN ARC WHOSE LENGTH EQUALS INNER BASE LINE PLUS SOMETHING BETWEEN 0 CM AND 66 CM??

Or, the length shifting/pushing/bending from the arc (17,453. 29 meters) to be the inner base line (17,453. 07 meters)
takes only 22 CENTImeters.

While..

the Neck much exels the 22 cm of additional length. Its length magnitude equals 38.07 METERS.

“22 CENTImeters produces 38 METERS”.

Is it logical? No-one would think so.~

Phew claims the arc length for 1° equals 17,619.85 meters. The difference between the Phew arc and the inner base line equals 17,619.85 meters – 17,453.07 meters = 166.77 meters.

Pi’s difference of 22 CENTImeters
VERSUS
Phew’s difference of 166.77 METERS,

Which one has the more possible ability to lift the 1° neck of 38.07 METERS?

Certainly it’s Phew’s 166.77 METERS.

Since the outer base line length is slightly identical with pi’s arc length, outer base line length is also unsufficient to resemble the arc length whose neck equals 38.07 METERS.

2 thoughts on “Let’s Examine 1° Angle to Figure Out If The Arc is Longer or Shorter Than The Outer Base Line

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