A truck moves along a circular path and describe 100 m

A truck moves along a circular path and describe 100 m when it has traced out 36o at the centre. The radius of the circle is equal to
(a) 100/pai m
(b) 250/pai m
(c) 500/pai m
(d) 600/ pai m

Anurag Mishra Professor Asked on 19th February 2016 in Maths.
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1 Answer(s)

Answer: (c) 500/pai m 

Solution:-
A truck moves along a circular path and describe 100 m when it has traced out 36 degree at the centre. 

Then, circumference of the circle = 100 x 360/36
 = 1000 m 

Formula-
The circumference of the circle = 2 x pai x r 
So, 2 x pai x r = 1000
r = 1000/2 x pai
r = 500/pai

Then, the radius of the circle is 500/pai m

Hence, the correct answer is option (c) 500/pai m. 

Anurag Mishra Professor Answered on 19th February 2016.
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