Let the radius of the congruent circles be 1 unit.
Therefore;
Area blue is;
3(area sector with radius 1 unit and angle 60°) - 2(area equilateral triangle with radius 1 unit)
= 3(60π/360) - 2(½(sin60))
= ½(π) - ½(√(3))
= ½(π-√(3)) square units.
Using r units as radius.
Shaded area will be;
3(60πr²/360) - 2(½(r²)sin60)
= ½(πr²) - ½(√(3)r²)
= ½(π-√(3))r² square units.
We appreciate you contacting us. Our support will get back in touch with you soon!
Have a great day!
Please note that your query will be processed only if we find it relevant. Rest all requests will be ignored. If you need help with the website, please login to your dashboard and connect to support