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#1 2006-11-22 04:40:44

unique
Member
Registered: 2006-10-04
Posts: 419

central angle

the central angle of a sector of a circle is 0.6 radian.
find the area of the sector if the radius is 4 meters.

i did:

0.6 = 0.6 / 360 * pi(4)^2 = 0.026666666

correct?


Desi
Raat Key Rani !

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#2 2006-11-22 06:03:56

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: central angle

Almost. You would be correct if the angle of the sector was 0.6 degrees, but it's actually 0.6 radians.

That means that instead of dividing by 360, you divide by 2π, which actually makes the working out a bit easier.

Area = 0.6/2π * π*4² = 0.6/2 * 16 = 0.48m².


Why did the vector cross the road?
It wanted to be normal.

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