Question

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

Answer 1

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