Mathematics Question and Solution
Let the radius of one of the small congruent circles be x.
Calculating x
Sin(180/7)=x/(x+1)
x = xSin(180/7)+Sin(180/7)
x(1-Sin(180/7))=Sin(180/7)
Therefore;
x = (Sin(180/7))/(1-Sin(180/7))
x = 0.76642161531 units.
It implies radius of one of the congruent small circles is;
0.76642161531 units.
Therefore the diameter of one of the congruent small circles is;
2*0.76642161531
= 1.53284323062 units.
The length circumference of one of the small congruent circles is;
πd, where d is diameter.
= 1.53284323062π units.
