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Question 1 of 3
1. Question
3 point(s)In \(\triangle ABC \). \(AB = {2cm}\), \(AC= {6cm}\) and \(BC =2\sqrt{7} cm\)
(a) Use the cosine rule to show that \(\angle BAC=\frac{\pi}{3}radians\).
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Question 2 of 3
2. Question
2 point(s)The circle with centre \(A \) and radius \({2cm}\) intersects \(AC \) at the point \(D \), as shown in the diagram above. Were you able to show this?
(b) The length, in cm, of the arc \(BD \),write your answer in terms of \(\pi cm \).
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\(L_{BD} =\) \(\pi cm \)
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Question 3 of 3
3. Question
4 point(s)(c) The area, in \(cm^{2}\), of the shaded region \(BCD \).
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\(A_{BCD} =\) \(cm^2\)
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