One chord, two regions
8 written marks
A chord \(AB\) in a circle of radius \(12\) cm subtends a minor central angle of \(\displaystyle \frac{\pi}{3}\).
Part a · 3 marks
Find the chord length and the area of triangle \(OAB\), where \(O\) is the centre.
Part b · 3 marks
Find the exact areas of the minor and major segments.
Part c · 2 marks
Find the exact perimeter of each segment.
Complete-answer checking, worked solutions and indicative written criteria.
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