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Show that length of a chord subtending a central angle with radius r is 2rsinθ/2

1 Answer

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Given:

There is a chord, radius and central angle given

Required:

We need to find the length of chord in terms of r

Step-by-step explanation:

Use sin formula


\begin{gathered} sin(\emptyset)/(2)=((c)/(2))/(r) \\ \\ sin(\emptyset)/(2)=(c)/(2r) \\ \\ 2rsin(\emptyset)/(2)= \end{gathered}

c is the length of chord and r be the radius

Show that length of a chord subtending a central angle with radius r is 2rsinθ/2-example-1
User Kudlatiger
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