Re: Area of Pie-shaped quadrilateral

From: G.L.Narasimham (mathma18_at_hotmail.com)
Date: 07/19/04 

Date: Mon, 19 Jul 2004 17:48:59 +0000 (UTC)

Assuming the OP's desription as being sufficiently accurate (describing it as enclosed between two concentric circles and two radii), we can find by similar pies (curved triangles) the inner radius R : R/(R+198.5)=53.5/103.5 feet or R=211.3 feet.It is a narrow Pie upper half. Sector angle of the Pie is 53.25/211.3*180/Pi ~ 14.44 degrees. Area enclosed between concentric circles is exactly average of curved sides *difference in radius(Yes,just as it is for a trapezium!) as done already, more accurate data would give or take only a few square feet.

On 19 Jul 2004, CapCity wrote:
>I currently live on a pie, or wedge, shaped lot and a prospective buyer
>asked me the approximate area of the lot, in acres. I think it's about a 1/3
>of an acre, but I'm not sure. I have the dimensions so I'm sure it's
>possible to calculate, but I have no idea how. I know I could divide it into
>triangles and find the area of each, but I am not sure of what angles of
>those traingles would contain.
>
>While I say it is pie or wedged shape, the lot does not come to a point.
>This "short" end of the lot measures about 53.25 feet. The two sides are
>about 198.0 and 199.0 feet and the back line is about 103.5 feet.
>
>Any suggestions as to the procedure I should attempt?
>
>Thanks in advance.

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