Mathematics Question and Solution
Let x be 4 units.
Calculating total blue length of arc.
It implies;
½(circumference of a circle with radius 2 units + circumference of a circle with radius 1 unit + circumference of a circle with radius 0.5 units).
= ½(2*2π+1*2π+0.5*2π)
= ½(4π+2π+π)
= ½(7π) units.
Calculating green length of arc.
It's radius is;
½((x/4)+(x/2)+x)
And x is 4 units.
½(1+2+4)
= ½(7) units.
Therefore green length of arc is;
½(2π(½(7))
= ½(7π) units.
It implies;
Blue length of arc (½(7π)) = Green length of arc (½(7π))
