Question Number 103165 by ajfour last updated on 13/Jul/20

Commented byajfour last updated on 13/Jul/20

If outer circle has unit radius,  find side of the equilateral △.  P, Q,R are centres of the   smaller circles. Also find α.

Commented bymr W last updated on 13/Jul/20

radius of small circles=r  (2/3)×(√3)r+r=1  ⇒r=2(√3)−3  α=30°  s=((2r)/(√3))+((2×2r)/(√3))=2(√3)r=6(2−(√3))

Commented byajfour last updated on 13/Jul/20

Excellent Sir, understood,  thanks a lot!