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Question Number 47515 by ajfour last updated on 11/Nov/18

Commented by ajfour last updated on 11/Nov/18

$$Find\alpha intermsofRifboth$$$$colouredareasareequal.$$

Answered by mr W last updated on 11/Nov/18

$$A_{blue}=R^2\cot \frac{\alpha }{2}-\frac{(\pi -\alpha )R^2}{2}=A_{yellow}=\pi R^2$$$$\Rightarrow \cot \frac{\alpha }{2}+\frac{\alpha }{2}=\frac{3\pi }{2}$$$$\Rightarrow \alpha =25.0932°$$

Commented by ajfour last updated on 11/Nov/18

$$ThanksSir,veryquick!$$

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