Properties Of Triangles Ques 47
A polygon of nine sides, each of length 2 , is inscribed in a circle. The radius of the circle is… .
$(1987,2 M)$
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Answer:
Correct Answer: 47.$(\operatorname{cosec} 20^{\circ})$
Solution:
- Here, central angle $=\frac{360^{\circ}}{9}=40^{\circ}$
In $\triangle A C M$,
$ \frac{1}{r}=\sin 20^{\circ} $
$\Rightarrow \quad r=\operatorname{cosec} 20^{\circ}$
$\therefore$ Radius of circle $=\operatorname{cosec} 20^{\circ}$
BETA
