Problem 1. Suppose you are a two-dimensional being, living on a sphere of radius R. 1. Show that if you draw a circle of radius r, the circle's circumference will be C = 2T Rsin(r/R) (2.1) 2. Idealize the Earth as a perfect sphere of radius R = 6371 km. If you could measure distances with an error of ±1 meter, how large a circle would you have to draw on the Earth's surface to convince yourself that the Earth is spherical rather than flat?
Problem 1. Suppose you are a two-dimensional being, living on a sphere of radius R. 1. Show that if you draw a circle of radius r, the circle's circumference will be C = 2T Rsin(r/R) (2.1) 2. Idealize the Earth as a perfect sphere of radius R = 6371 km. If you could measure distances with an error of ±1 meter, how large a circle would you have to draw on the Earth's surface to convince yourself that the Earth is spherical rather than flat?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem 1. Suppose you are a two-dimensional being, living on a sphere of radius R.
1. Show that if you draw a circle of radius r, the circle's circumference will be
C = 2T Rsin(r/R)
(2.1)
2. Idealize the Earth as a perfect sphere of radius R = 6371 km. If you could measure distances with an
error of ±1 meter, how large a circle would you have to draw on the Earth's surface to convince yourself
that the Earth is spherical rather than flat?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f5c9d99-8521-472c-b17c-44d18f33795f%2Fbcfc282e-a1b0-4c1f-9fe7-8f81316c572d%2F5ld61ql_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1. Suppose you are a two-dimensional being, living on a sphere of radius R.
1. Show that if you draw a circle of radius r, the circle's circumference will be
C = 2T Rsin(r/R)
(2.1)
2. Idealize the Earth as a perfect sphere of radius R = 6371 km. If you could measure distances with an
error of ±1 meter, how large a circle would you have to draw on the Earth's surface to convince yourself
that the Earth is spherical rather than flat?
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