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how to calculate the length of an arc of a sector. How to Find the Arc Length An arc length is just a fraction of the circumference of the entire circle. Just like how the shaded area was a fraction of the total area the arc is a fraction of the total circumference.
The arc length formula is used to find the length of an arc of a circle. Sector area is found A 1 2 thr2 A 1 2 th r 2 where th th is in radian. We already know the formula for the Area of the sector and the arc length.
So 360 degrees corresponds to an arc length C 2pR.
That gives you the central angle of the sector. Finding the area of a sector means determining how much area would be covered if lines were drawn from each tip. A r² th 2 15² p4 2 8836 cm². 2 A circle has an arc length of 59 and a central angle of 167 radians.