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.

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) (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) (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!!
RELATED QUESTIONS
Find the area and perimeter of a plot of land decided by a radius of 35-foot and a... (answered by Alan3354)
A sector of a circle is enclosed by two 12.0-inch radii and a 9.0-inch arc. Its perimeter (answered by math_helper)
Circle G has an area of 18pi square inches.What is the are of sector bounded by the radii (answered by ikleyn)
Find the area and perimeter of a square plot of land, the length of... (answered by Charles3475)
A farmer has 120 meters of fencing and wants to enclose a rectangular plot of land that... (answered by TimothyLamb)
A farmer has 120 meters of fencing and wants to enclose a rectangular plot of land that... (answered by TimothyLamb)
The radius of a circle is 5 kilometers. What is the area of a sector bounded by a 180�... (answered by MathLover1)
The radius of a circle is 5 inches. What is the area of a sector bounded by a 180� arc? (answered by Alan3354)
The radius of a circle is 7 feet. What is the area of a sector bounded by a 180° arc? (answered by MathLover1,MathTherapy,josgarithmetic)