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James's quartic. Find the area of a squircle.

Options:
A) Squircle does not have a definite area.
B) πr²
C) 4/3πr³
D) 2πr²

1 Answer

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Final answer:

The area of a squircle can be approximated by using the equation A = 4/3πr³. The squircle is a shape that combines the properties of a square and a circle, so its area is between that of a square and a circle.

Step-by-step explanation:

The area of a squircle can be approximated by using the equation A = 4/3πr³. The squircle is a shape that combines the properties of a square and a circle, so its area is between that of a square and a circle.

To find the area of the squircle, we can start by considering a circle within a square. The area of the square is a² and the area of the circle is πr², where r is the radius of the circle. Since the squircle lies between the square and the circle, its area will be slightly larger than the circle but smaller than the square, so we can estimate it to be around 4/3πr³.

Therefore, the correct option is C) 4/3πr³.

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