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Question 1 of 3
1. Question
2 point(s)The shown in Figure 1 is the pattern for the pendant. It consists of the sector \(OAB \) of a circle \(O \), of the radius \(6cm\), and angle \(AOB=\frac{\pi}{3}\). The circle \(C \), inside the sector, touches the two straight edges \(OA \) and \(OB \), the arc \(AB \) as shown
Find
(a) The area of sector \(OAB \).Write your answer in terms of \(\pi\)
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Area of sector \(OAB \)= \(\pi cm^2\)
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Question 2 of 3
2. Question
3 point(s)(b) The radius of the circle \(C \).
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\(r=\) \(cm\)
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Question 3 of 3
3. Question
2 point(s)The region outside the circle \(C \) and inside the sector \(OAB \) is shown shaded in Figure 1.
(c) Find the area of the shaded region.
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Shaded Region= \(\pi cm^2\)
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