Overlapping area given vertices

As stated in the title, is it possible to determine the overlapping area of polygons given the coordinates of the vertices of each polygon?

#Geometry

Easy Math Editor

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Comments

Well as i see it, it only involves finding the area enclosed by a group of lines whose equations we know. The final area will also be a polygon whose vertices(coordinates) we know, hence its area .

Keshav Tiwari - 4 years, 11 months ago

The group of lines do not define the actual overlapping area though. Say two polygons have zero overlapping area. You see where this is going?

Lolly Lau - 4 years, 11 months ago

Okay... I get it now. Did you think of this while solving a problem? If so ,please share it .

Keshav Tiwari - 4 years, 11 months ago

I thought of this while conceiving the 'SCAA Logo' problem.

Lolly Lau - 4 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$