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 \(\pi\)
Area of sector \(OAB \)=\(\pi cm^2\)
Correct
Incorrect
Question 2 of 3
2. Question
3 point(s)
(b) The radius of the circle \(C \).
\(r=\)\(cm\)
Correct
Incorrect
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.