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formula for how to find the length of an arc. Arc Length Formula if th is in degrees s 2 p r th360 Arc Length Formula if th is in radians s ϴ r. To calculate larger arc lengths calculate the length of the smaller arc first then subtract it from the circumference of the circle.
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We know that for the angle equal to 360 degrees 2p the arc length is equal to circumference. Therefore if you divide an arcs degree measure by 360 you find the fraction of the circles circumference that the arc makes up. Hence as the proportion between angle and arc length is constant we can say that.
When the central angle is in radians the arc length formula is.
An arc measure is an angle the arc makes at the center of a circle whereas the arc length is the span along the arc. The formula to measure the length of the arc is. Th displaystyle theta equals the measurement of the arcs central angle in degrees. We know that for the angle equal to 360 degrees 2p the arc length is equal to circumference.
