# Arc and radius relationship

### S= r θ Formula and Equation for the central angle in radian measure

Define arc length, rotation angle, radius of curvature and angular velocity. . the relationship between radians and degrees is thus 2π rad = º so that. One radian is equal to the angle formed when the arc opposite the angle is equal to the radius of the circle. So in the above diagram, the angle ø is equal to one. 6 days ago An arc length R equal to the radius R corresponds to an angle of 1 radian . using the sine relationship between the opposite and hypotenuse.

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