If "the angle" means the angle between two radii at the centre, the answer is no. You need to know the circumference first. Then use radius = circumference divided by 2 x pi.
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A central angle of 1 radian is the angle that subtends an arc equal in length to the radius. If diameter = 5 m, then radius = 2.5 m. 2.5 m --> 1 radian 6 m is subtended by (6 / 2.5) = 2.4 radians.
The radial length equals the chord length at a central angle of 60 degrees.
there are 180 degrees in a striaght line
The entire circumference has a central angle of 360 degrees. The arc is a fraction of the circumference. The fraction is (central angle) divided by (360). So the arc length is: (circumference) x (central angle) / (360) .