the area of it
the outside square's perimeter is 16
.......
what's the area of the golden area??
The answer is 11.27633477.
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3 solutions
I wanted you you to get it without searching for it
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Sorry, but I want you to add more details to your question.
How can we know for sure that golden area is reuleaux triangle? Not enough information is given. All you did was show pictures.
Do that and I will update my solution to a solution without the use of formula and any outside sources.
Thanks a lot for this nice demonstration.
Thanks a lot for this information
it's a piece of a circle
Three times the 60 degrees sectors MINUS two times 4 cm sided equilateral triangles.(since has been counted three times in stead of once.)
⟹
3
∗
π
∗
3
6
0
6
0
∗
4
2
−
2
∗
2
1
∗
4
2
∗
2
3
=
8
(
π
−
3
)
=
1
1
.
2
7
6
.
In Engineering this shape has been used for rotary engines in place of reciprocating engines.
The three empty spaces are sealed from one another.
Gasses in the empty spaces are moved round.
ya you used my same idea
This shape is called Reuleaux triangle .
It's a kind of shape that can give you almost square-like hole drill.
So formula for area of this shape is 2 π − 3 r 2 where r is constant width, as mentioned in Wikipedia page.
From given information, we can see that r = 4 , so just plug it in formula and there you go.