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May 22nd, 2008, 12:54 PM
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On the unit circle, if A is the area of the sector formed by a central angle of theta radians,
then A = theta
I don't understand this, can someone help? |
May 22nd, 2008, 01:00 PM
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Hello, Quote:
Originally Posted by gabrie30  For a circle of radius 2, a central angle of 45 subtends an arc whose length s is 90.
Is this true or false? Why?
My guess is that its false and that the arc is (2X(PI/3)) | This is indeed false, but I would say the answer is pi/2.
45/360=1/8
The perimeter is 2*pi*2=4*pi
--> length of the arc is (4*pi)/8
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May 22nd, 2008, 01:16 PM
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Quote:
Originally Posted by gabrie30 On the unit circle, if A is the area of the sector formed by a central angle of theta radians,
then A = theta
I don't understand this, can someone help? | If you want to ask a new question, post it in a new thread. Do not simply edit over the old one.
-Dan
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May 22nd, 2008, 01:19 PM
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Quote:
Originally Posted by gabrie30 On the unit circle, if A is the area of the sector formed by a central angle of theta radians,
then A = theta
I don't understand this, can someone help? | Your formula is off by a factor of 2.
The angle  is a section of the circle. So the area of the wedge is proportional to the angle .
Thus 
(Remember this is the unit circle so r = 1.) 
-Dan
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"I must not fear. Fear is the mind killer. Fear is the little death that brings total obliteration. I will face my fear. I will permit it to pass over me and through me. And when it has gone I will turn the inner eye to see its path. Where the fear has gone there will be nothing. Only I will remain." - The Litany Against Fear, "Dune" by Frank Herbert | | Thread Tools | | | | Display Modes |  Linear Mode | 
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