A fence from a point \(A \) to a point \(B\) is in the shape of an arc \(AB \) of a circle with the centre \(O\) and radius \(45m\), as shown in the diagram. The length of a fence is \(63m\).
(a) Show that the size of \(\angle AOB \) is exactly \(1.4\) radians. Were you able to show this?
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Question 2 of 2
2. Question
5 point(s)
The points \(C\) and \(D\) are on the lines \(OB\) and \(OA\) respectively, with \(OC=OD=30m\).
A plot of land \(ABCD\), shown shaded in the figure above, is enclosed by the arc \(AB\) and the straight lines \(BC,CD\) and \(DA\).
(b) Calculate to the nearest \(m^{2}\), the area of the plot of land.