perplexus.info :: Shapes : Given the Vertices, Find the Area

Given the Vertices, Find the Area (Posted on 2023-08-19)

Consider square with vertices at (1,1), (-1,1), (-1, -1), and (1, -1).

S is the region which consists of all points inside the square which are nearer to the origin than any edge of this square.

Determine the area of S.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required approximate area of S is 0.8758056659898403.
For an explanation, refer to the analytic solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Polar coordinates	Larry	2024-03-01 11:34:42
Analytic solution	Larry	2023-08-19 10:11:16
solution	Charlie	2023-08-19 08:10:23
question	Charlie	2023-08-19 06:27:58

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