



 
Hi Amandsa, If a sector has central angle that measures θ degrees then the sector is a fraction of the circle. The fraction is θ/360 since the central angle for the entire circle is 360 degrees. The area of a circle of radius r is π r^{2} where π is approximately 3.1416. The area of a sector is a fraction of the area of the circle, in fact it's the same fraction as above so
The circumference of a circle of radius r is 2 π r so the length of the arc that of a sector with central angle θ is the same fraction of the circumference. Thus
Penny
 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 