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keianellykimm
keianellykimm keianellykimm
  • 05-08-2016
  • Mathematics
Answered

What is the relationship between the arc length and the radius of a circle when the central angle is defined in radians?

Verified Answer :

Hussain514 Hussain514
  • 06-08-2016

There are two formulae for this: 

angle/360 X (pi) X (radius squared) = Area of a sector 

angle/360 X (pi) X (diameter) = Arc Length of sector 
or 
angle/360 X (2) X (pi) X (radius) = Arc Length of sector 

If you want to work out the perimeter of a sector, use this formula: 

Arc Length + (2 X radius) = Perimeter of sector. 

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