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a regular polygon of nine sides,each of length 2, is inscribed in a circle.The radius of the circle is a)sec( π/9) b)cosec( π/9) c)sin( π/9) d)tan( π/9)

a regular polygon of nine sides,each of length 2, is inscribed in a circle.The radius of the circle is
a)sec(π/9) 
b)cosec(π/9)
c)sin(π/9)
d)tan(π/9)
 
 

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-1912_1.PNG
Vikas TU
14149 Points
one year ago
Dear student 
Here is another method.
Let AB=2 unit be one of the sides of the polygon.
Angle AOB = 2pi/9 
O is centre of circle 
OL is perpendicular to AB and AL = 1 and angle AOL = pi/9 
Radius of circle = OA = cscpi/9 

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