Recovering an angle from a chord
Recovering an angle from a chord
6 marks
TGM Original
A chord AB of length 10 cm lies in a circle of radius 10 cm. Find the smaller central angle, then the area and perimeter of the minor segment, giving exact answers.
Solution:
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Answer:\(\frac\pi3\) radians; \(\left(\frac{50\pi}{3}-25\sqrt3\right)\text{ cm}^2\); \(\left(\frac{10\pi}{3}+10\right)\text{ cm}\).
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