A "squircle" is a 2d shape intermediate between a square and a circle. One variant, called Lame's quartic, is given by: 4 x² + y² = R¹ The area bounded by this curve and including the origin has area A given by: A = k*R² Find the value of k to 3 decimal places.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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A "squircle" is a 2d shape intermediate between a square and a
circle. One variant, called Lame's quartic, is given by:
4
x² + y² = R¹
The area bounded by this curve and including the origin has area
A given by:
A = k*R²
Find the value of k to 3 decimal places.
Transcribed Image Text:A "squircle" is a 2d shape intermediate between a square and a circle. One variant, called Lame's quartic, is given by: 4 x² + y² = R¹ The area bounded by this curve and including the origin has area A given by: A = k*R² Find the value of k to 3 decimal places.
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