Mathematics Question and Solution
Calculating r, radius of the inscribed half circle.
a = (r-6) units.
b = (r-3) units.
Therefore;
r² = a²+b²
r² = (r-6)²+(r-3)²
r² = r²-12r+36+r²-6r+9
r²-18r+45 = 0
Resolving the above quadratic equation via factorization approach to get r, radius of the inscribed half circle.
r²-15r-3r+45 = 0
r(r-15)-3(r-15) = 0
(r-15)(r-3) = 0
Therefore;
r ≠ 3 units.
r = 15 units.
Again, ris the radius of the inscribed half circle.
