Apps. and Interpretation for IBDP Maths Ebook 1 | Page 123

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Paper 1 – Nearest Neighbour Interpolation
Example
The diagram below shows the Voronoi diagram of three post offices, A , B and C , in a
town, where 1 unit represents 1 km.
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(a) Write down the area of the Voronoi cell of the post office B .
(b) (i) Find the mid-point of AC .
[1]
(ii) Hence, find the perpendicular distance between C and the perpendicular
bisector of AC .
[4]
Clara would like to find a post office which is nearest to her home to send a parcel
overseas. The position of her home is at (1, 8) .
(c)
State which post office would be the best choice for her.
[1]
www.seprodstore.com
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