Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
27th August, 2026

Calculating x, a chord of the inscribed green circle.


Notice.


a = 2 cm.

b = 6 cm.


d = a+b

d = 2+6

d = 8 cm.

d is the diameter of the ascribed yellow circle.


r = ½(a+b)

r = ½(2+6)

r = 4 cm.

r is the radius of the ascribed yellow circle.


x*c = 6*2

c = (12/x) cm.


d = r-a

d = 4-2

d = 2 cm.


It implies, length x is;


c² = r²+d²


(12/x)² = 4²+2²


(144/x²) = 16+4


144 = 20x²


x² = 144/20


x² = 36/5


x = √(36/5)


x = 6/√(5)


x = ⅕(6√(5)) units.


x = 2.683281573 units.

Again, x is the required length, a chord of the green inscribed circle.

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