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what is the equation of length of the arc. The arc length is then given by. It is any portion of the circumference of a circle of any length.
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Central angle th Conversions. If the central angle is is radians the formula is simpler. L r th Hence the arc length is equal to radius multiplied by the central angle in radians.
One radian is the angle formed when an arc of a circle is equal in length to the radius of that circle.
Th displaystyle theta equals the measurement of the arcs central angle in degrees. L r th Hence the arc length is equal to radius multiplied by the central angle in radians. Arc length is the length of a portion of the circumference of a circle that is traced out by a central angle eqtheta eq. Thus the length of the arc AB will be 518 of the circumference of the circle which equals 2 pr according to the formula for circumference.
