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Question 1 of 3
1. Question
3 point(s)
The diagram above shows the sector \(OAB\) of a circle of radius r cm. The area of the sector is \(15cm^2\) and\( \angle AOB= 1.5\) radians.
(a) Prove that \(r=2\sqrt{5}\). Were you able to show this?
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Question 2 of 3
2. Question
2 point(s)(b) Find, in \(cm\), the perimeter of the sector \(OAB\). 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 3 of 3
3. Question
3 point(s)The segment \(R\), shaded in the diagram above, is enclosed by the arc \(AB\) and the straight line \(AB\).
(c) Calculate, to \(3\) decimal places, the of \(R\).
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\(R=\) \( cm^2 \)
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