The angle subtended at the centre of a circle of radius 3 cm by an arc of lenhgth 1 cm is :

Options

A. `(30^(@))/(pi)`
B. `(60^(@))/(pi)`
C. `60^(@)`
D. None of the above

Answer

B

Explanation

Let `theta` be required angle
`thereforetheta=(arc)/("radius")=(1)/(3)` radians
Now , 1 radian `=(180^(@))/(pi)`
`therefore(1)/(3)" radian" =(180^(@))/(pi)xx(1)/(3)=(60^(@))/(pi)`
Hence , Required angle `=theta=(60^(@))/(pi)`