2003 Jan C2 Q7
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Question 1 of 4
1. Question
1 point(s)
The diagram above shows the cross section \(ABCD\) of a chocolate bar, where \(AB,CD\) and \(AD\)
are straight lines and \(M\) is the midpoint of \(AD\).The length \(AD\) is \(28mm\), and \(BC\) is an arc of a circle with centre \(M\).
Taking \(A\) as the origin, \(B,C\) and \(D\) have coordinates \((7,24),(21,24)\) and \((28,0)\) respectively.
(a) Show that the length of \(BM\) is \(25mm\). Were you able to show this?
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Question 2 of 4
2. Question
3 point(s)(b) Show that, to \(3\) significant figures, \(\triangle BMC=0.568\) radians. Were you able to show this?
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Question 3 of 4
3. Question
5 point(s)(c) Hence calculate in \(mm^{2}\), the area of the cross section of the chocolate bar.
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\(mm^{2}\)
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Question 4 of 4
4. Question
2 point(s)Given that this chocolate bar has length \(85mm\)
(d) Calculate to the nearest \(cm^{3}\), the volume of the bar.
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\(cm^{3}\)
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