SOLUTION: A plot of land is bounded by a 140-degree circular arc and two 80-foot radii of the samecircle. Find the perimeter of the plot, as well as its area.

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Question 1163744: A plot of land is bounded by a 140-degree circular arc and two 80-foot radii of the samecircle. Find the perimeter of the plot, as well as its area.
Found 2 solutions by Cromlix, MathTherapy:
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
140/360 = length of arc/pi x diameter
140/360 = length of arc/ pi x 160
length of arc = (140 x 160)/360
length of arc = 62.22 ft (2 decimal places)
Perimeter of field = 62.22 + 80 + 80 = 222.22 ft.
140/360 = Area of sector/pi x radius^2
140/360 = Area of sector/pi x 80^2
(140 x 80^2)/360 = area of sector
area of sector = 2488.89 ft^2 (2 decimal places)
Perimeter of plot = 222.22 ft.
Area of plot = 2488.89 ft^2
Hope this helps :-)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A plot of land is bounded by a 140-degree circular arc and two 80-foot radii of the samecircle. Find the perimeter of the plot, as well as its area.
The other person is WRONG! 
Perimeter: , with D being the diameter
Area: , with r being the radius.
Calculate those!!