My Math Forum Area of a Sector of a Circle

 Algebra Pre-Algebra and Basic Algebra Math Forum

 May 18th, 2009, 11:06 AM #1 Newbie   Joined: May 2009 From: Las Vegas Posts: 21 Thanks: 0 Area of a Sector of a Circle From my textbook: $\frac{\theta}{\theta_1}=\frac{A}{A_1}$ (This I understand) Suppose that $\theta_1= 2\pi$ Then $A_1$= area of the circle = $\pi r^2$ (I don't understand this. How is the area of a sector the same as the area of the circle?)
 May 18th, 2009, 11:32 AM #2 Senior Member   Joined: Mar 2009 Posts: 318 Thanks: 0 The area of the circle is the area of the sector whose angle is "the whole way 'round".
May 18th, 2009, 11:41 AM   #3
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Joined: May 2009
From: Las Vegas

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Re:

Quote:
 Originally Posted by stapel The area of the circle is the area of the sector whose angle is "the whole way 'round".
Well that makes sense. I was looking at a picture in the text next to the example; the picture that had, so far, gone with the example. It showed a circle with about a 20 degree angle and I thought they were referring to that illustration.

Thanks for putting up with my "denseness"

 Tags area, circle, sector

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