2007 Jan C2 Q9
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Earned Point(s): 0 of 0, (0) The diagram above shows a plan for a patio. The patio \(PQRS\) is in the shape of a sector of a circle with centre \(Q \) and the radius \(6m\). Given that the length of straight line \(PR \) is \(6\sqrt{3}m\), (a) Find the exact size of angle \(\angle PQR\) in radians, write your answer as a fraction in terms of \(\pi \). \(\angle PQR=\) \(\pi\) radians (b) Show that the area of patio \(PQR\) is \({12\pi m^{2}}\). Were you able to show this? (c) Find the exact area of triangle \(PQR\). Write form \(a\sqrt{b}\), where \(a\) and \(b\) are integers to be found. a= b= (d) Find in \(m^{2}\) to \(1\) decimal place, the area of segment \(PQR\). area of segment \(PQR=\) \( m^2 \) (e) Find in \(m\), to \(1\) decimal place, the perimeter of the patio \(PQRS\). perimeter of the patio= \( m \)
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