from one point to another, or [x₁ − x₂] + |y₁ - y₂ for points (x₁, y₁) & (x2, Y2). Plot A(2, 5). A) Find the Taxicab distance from A to (5, 5). B) Find the Taxicab distance from A to (4, 6). C) Plot all points that are at a Taxicab distance of 3 from A. This makes a "circle" in Taxicab Geometry. D) Find the Taxicab length of the diameter of this circle. E) Find the Taxicab circumference of this circle. F) What is the value of π = in Taxicab Geometry?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Remember that Taxicab distance is found by counting horizontal and vertical blocks to get
from one point to another, or |x₁ - x₂] + |y₁ - y₂| for points (x₁, y₁) & (x2, Y₂).
Plot A(2, 5).
A) Find the Taxicab distance from A to (5, 5).
B) Find the Taxicab distance from A to (4, 6).
C) Plot all points that are at a Taxicab distance of 3 from A.
This makes a "circle" in Taxicab Geometry.
D) Find the Taxicab length of the diameter of this circle.
E) Find the Taxicab circumference of this circle.
F) What is the value of π =
in Taxicab Geometry?
Transcribed Image Text:Remember that Taxicab distance is found by counting horizontal and vertical blocks to get from one point to another, or |x₁ - x₂] + |y₁ - y₂| for points (x₁, y₁) & (x2, Y₂). Plot A(2, 5). A) Find the Taxicab distance from A to (5, 5). B) Find the Taxicab distance from A to (4, 6). C) Plot all points that are at a Taxicab distance of 3 from A. This makes a "circle" in Taxicab Geometry. D) Find the Taxicab length of the diameter of this circle. E) Find the Taxicab circumference of this circle. F) What is the value of π = in Taxicab Geometry?
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