SOLUTION: In a circle of radius 5 cm, a sector has a central angle 2 rad. a. Find the arc length subtended by the angle 2 rad. b Find the area of the sector.

Algebra ->  Circles -> SOLUTION: In a circle of radius 5 cm, a sector has a central angle 2 rad. a. Find the arc length subtended by the angle 2 rad. b Find the area of the sector.      Log On


   



Question 1014091: In a circle of radius 5 cm, a sector has a central angle 2 rad.
a. Find the arc length subtended by the angle 2 rad.
b Find the area of the sector.

Answer by ikleyn(52810) About Me  (Show Source):
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In a circle of radius 5 cm, a sector has a central angle 2 rad.
a. Find the arc length subtended by the angle 2 rad.
b Find the area of the sector.
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a. Arc length is  L = r%2Aalpha = 2*5 cm = 10 cm,

   where alpha is the central angle measure in radians.

b. The area of the sector is  S = %28r%5E2%2Aalpha%29%2F2 = %2825%2A2%29%2F2 = 25 cm%5E2.


   See the lesson Area of a sector in this site.