WSKT 212 PAC

‘n Argitek ontwerp ‘n venster sodat dit
die vorm het van ‘n reghoek met ‘n
halfsirkel bo-op:
Die hoogte van die reghoekige
gedeelte is 10 cm meer as die wydte
van die venster.
3.1 Toon aan dat die omtrek P van die
venster as funksie van die radius r
geskryf kan word as:
( ) ( π )
P r = + 6 r+
20
3.2 Teken ‘n grafiek van P teenoor r vir
0≤ r ≤ 50.
Vraag 3/ Question 3
91
An architect designs a window such
that it has the shape of a rectangle
with a semicircle on top:
The height of the rectangular part of
the window is 10 cm more that its
width.
Show that the circumference
(perimeter) P of the window may
expressed as a function of the radius
r as:
( ) ( π )
P r = + 6 r+
20
Sketch a graph of P against r for
0≤r≤ 50.