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Question 1 of 5
1. Question
3 point(s)
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 \(\pi \).
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\(\angle PQR=\) \(\pi\) radians
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Question 2 of 5
2. Question
3 point(s)(b) Show that the area of patio \(PQR\) is \({12\pi m^{2}}\). Were you able to show this?
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Question 3 of 5
3. Question
2 point(s)(c) Find the exact area of triangle \(PQR\). Write form \(a\sqrt{b}\), where \(a\) and \(b\) are integers to be found.
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a= b=
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Question 4 of 5
4. Question
2 point(s)(d) Find in \(m^{2}\) to \(1\) decimal place, the area of segment \(PQR\).
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area of segment \(PQR=\) \( m^2 \)
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Question 5 of 5
5. Question
2 point(s)(e) Find in \(m\), to \(1\) decimal place, the perimeter of the patio \(PQRS\).
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perimeter of the patio= \( m \)
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