a = (2r-14) units.
b = ½(a)
b = (r-7) units.
Calculating r, radius of the half circle.
Therefore;
2r ~ 6
6 ~ (r-7)
Cross Multiply.
2r(r-7) = 36
r²-7r-18 = 0
Resolving the quadratic equation via factorization approach.
r²-9r+2r-18 = 0
(r²-9r)+(2r-18) = 0
r(r-9)+2(r-9) = 0
(r-9)(r+2) = 0
It implies;
r ≠ -2
r = 9 units.
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