Radian Measure given the arc is 3/7 diameter The question is what is the radian measure of a central angle of a circle if the subtended arc has a length that is $3/7$ of the length of the diameter. I reasoned as follows: if $1/2$ the diameter = 1 radian, then $3/7$ of a diameter would be $6/7$ of a radian. Is this correct reasoning?

$$L=\frac 37 D=\frac 67 R$$

the measure of the angle is

$\frac{6}{7} $ radians.