If a thread of length 5m is
given then which close figure
can be formed from this thread
to get maximum area.
Answers
Given : a thread of length 5m
To find : which close figure can be formed from this thread to get maximum area
Solution:
For a given perimeter Circle has maximum Area
If a thread of length 5m is given
=> Perimeter of figure = 5 m
if we make Equilateral Triangle then Area = (√3 / 4) (5/3)² = 1.2 m²
if we make Square then Area = (5/4)² = 1.5625 m²
if we make hexagon then Area = 6 (√3 / 4) (5/6)² = 1.8 m²
Hence we can see as number of sides increases the area keep increasing
A circle has virtually infinite sides
Hence Circle would be having maximum area
2πR = 5
=> R = (5/2π)
Area = πR² = π (5/2π)² = 25 / 4π = 1.99 m²
If a thread of length 5m is given then Circle can be formed to get maximum area
CIRCLE
Learn more:
Farmer Lee wants to make a fence for his chicken coop in the shape ...
https://brainly.in/question/14016507
Find the minimum and maximum possible areas of a rectangle ...
https://brainly.in/question/9262954
Consider all rectangles that can be made with a 1 metre long rope ...
https://brainly.in/question/13415204
Answer:
If a thread of length 5m is given then which close figure can be formed from this thread to get maximum area.