Geometry, Level 3 of 6, Example 2, Overlapping circles

I will calculate the area of overlapping region for two unit circles with centers being at unit distance.

[Ramkabharosa]

Area (intersection) = 2A+4B, where A = area(Green Δ) and B = area (Thin green segment)
A = (½).b.h = (½).{(1/2)√3} = (1/4)√3. B = Area(sector) - Area(Green Δ) = (π /6) - (1/4)√3.
Area (intersection) = 2A+4B= 2.(1/4)√3 + {(π /6) - √3} = {(4π /6) - (1/2)√3} = {4π - 3√3}/6.

[SH-vvzq]

It would be helpful if you explained what you were aiming to calculate at each stage before just launching in on the calculation, eg, "we need to calculate the base length of the diamond shape so that we can calculate the area of the do that, we....xyz"

[tompregon]

Can you tell me what percentage that green are equates to ?...

[knowone]

What is the percentage of the green area?