Apps. and Interpretation for IBDP Maths Ebook 1 | Page 135

(b) (i) Find the radius of the circle centred at E .
(ii) Write down the exact radius of the circle centred at F .
(iii)
Hence, determine which location is farthest from all four incinerators.
[4]
Solution
(a)
Every position in the Voronoi cell of C has C to
be the nearest incinerator. A1 N1
(b) (i) The radius
2 2
� (6 �5) � (9 � 7)
(M1) for valid approach
� 2.236067978
� 2.24 km A1 N2
[1]
(ii)
5
3
km A1 N1
(iii) E A1 N1
[4]
11
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