Posted by Anne on Monday, December 5, 2011 at 11:54am.
using 100 ft of fence material and building a regular octagon garden, what is the area of the garden?

math **urgent**  Reiny, Monday, December 5, 2011 at 12:34pm
8 sides, so each side = 12.5 ft
split the octogon into 8 isosceles triangles.
Consider one triangle, the central angle is 360/8 = 45°, so each base angle = 67.5°
tan 67.5 = height/6.25
height = 6.25(tan67.5) = 15.0888...
area of one triangle = (1/2)(12.5)(15.0888..)
= 94.3052..
area of whole thing =8(94.3052..) = 754.4417
check my arithmetic, I had my calculator keep all the digits as I went along
Answer This Question
Related Questions
 math  using 100 ft of fence material an dbuilding a regular gexagon garden, ...
 5th grade math  suppose you are building a fence for a garden in your yard. ...
 Math  The dimensions of Mrs. Singleton's square garden are dilated using a ...
 algebra  A farmer decides to enclose a rectangular garden, using the side of a ...
 math  Ricky is building a rectangular garden with an area of 100 square feet. ...
 math  zack is planning to make a flower garden he has 24 one yard sections of ...
 arithematic  A horticulturalist is building a fence around a rectangular garden...
 Algebra  A farmer decides to enclose a rectangular garden, using the side of a ...
 Geometry  Harris is planting a rectangular garden with an area of 48 square ...
 Math  Amandeep decides to grow a vegetable garden. She wants to make it 10.1m ...
More Related Questions