2006 June C2 Q8
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Earned Point(s): 0 of 0, (0) The figure above shows the cross section \(ABCD\) of a small shed. The straight line \(AB\) is vertical and has length \(2.12m\). The straight line \(AD\) is horizontal and has length \(1.86m\) The curve \(BC\) is an arc of a circle with centre \(A\), and \(CD \) is a straight line. Given that the size of \(\angle BAC \) is \(0.65\) radians,find (a) The length of the arc \(BC\), in \(m\), to \(2\) decimal parts. arc \(BC=\) \(m\) (b) The area of the sector \(BAC\), in \(m^{2}\), to \(2\) decimal places, Area of \(BAC=\) \(m^2 \) (c) The size of \(\angle CAD \), in radians, to \(2\) decimal places, \(\angle CAD=\) radians (d) The area of the cross section \(ABCD \) of the shed in \(m^{2}\), to \(2\) decimal places. area of the cross section \(ABCD=\) \(m^2 \)
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