Question

If the area of sector of a circle of radius 14cm is 77cm sq then the central angle is

Answer 1

this answer is angle 75

Answer 2

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$= > ar(sector \: ) = > \frac{ \alpha }{360} \times \pi {r}^{2} \\ \\ = > 77 = \frac{ \alpha }{360} \times \frac{22}{7} \times 14 \times 14 \\ \\ = > \frac{77}{22} \times \frac{7}{14} \times \frac{360 }{14} = \alpha \\ \\ = > \alpha = 45$

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So the angle is 45°

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I hope it will help you a lot

Thanks

@drsm