Question

Given a polygon, compute an inner polygon having each side parallel and at a distance d from the corresponding sides of the outer polygon. An example of a real-life application is a graphics application where we can create an inner border with a width of d, to any drawn polygon.

Answer 1

Given a polygon, compute an inner polygon having each side parallel and at a distance d from the corresponding sides of the outer polygon. An example of a real-life application is a graphics application where we can create an inner border with a width of d, to any drawn polygon.

Answer 2

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Distance covered by the thief in 10 minutes =6×1060=1km6×1060=1km

The relative speed = 8 km - 6 km. = 2 km.

The police will be ahead of 2 km. in an hour.

But distance travelled = 1 km.

Time taken by police to cover 1 km. = 12km.12km.

The speed of the pollce = 8 km.

In 1212 hr. the police will cover a distance of 4 km. 

The police will catch the thief at 4 km. distance.

$\boxed{Hope\:This\:Helps}$