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Question Number 5626 by Rasheed Soomro last updated on 23/May/16

$$\mathrm{What}\mathrm{is}\mathrm{the}\mathbf{length}\mathbf{of}\mathbf{chord}\mathrm{in}\mathrm{a}\mathbf{circle}\mathbf{of}$$$$\mathbf{radius}\mathbf{r}\mathrm{which}\mathrm{divides}\mathrm{the}\mathbf{circumference}\mathbf{of}\mathbf{circle}\mathrm{in}\mathbf{m}:\mathbf{n}?$$

Answered by mrW last updated on 17/Nov/16

$$\theta =2\pi \cdot \frac{m}{m+n}$$$$L=2\cdot r\cdot \sin \left(\theta /2\right)=2\cdot r\cdot \sin \left(\frac{m\pi }{m+n}\right)$$

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