Question

the radius of a circle is 2π/300. Find the length of the arc that is formed by an angle of π/6 subtended at the centre of the circle

Answer 1

so radius = pi/150.

And angle = Pi/6 radians which on converting to degrees = 180/6 = 30.

So theta(degrees) = 30, radius = Pi/150,

Length of arc = theta x radius x Pi / 180

Answer 2

thats exactly what i did but the answer is wrong :/

the question actually doesnt give a radius, they give the circumference which is 300mm

have i calculated the radius incorrectly?

Answer 3

if Circumference = 300mm, then 2 x Pi x r = 300; Pi x r = 150.

R = 150/Pi.

Length of arc = R X Theta x Pi/180

=> 150x30xPi/Pix180 => 4500/180 = 25mm.

Answer 4

thats the answer

thanks!