Mathematics Question and Solution
Calculating the area of the inscribed circle.
a = (9+r) cm.
b = (9-r) cm.
It implies;
(9+r)² = c²+(9-r)²
81+18r+r²-(81-18r+r²) = c²
c² = 36r
c = 6√(r) cm.
d = (6√(r)-9) cm.
e = (9-r) cm.
Therefore, Calculating r.
(9-r)² = r²+(6√(r)-9)²
81-18r+r² = r²+36r-108√(r)+81
108√(r) = 54r
108²r = (54r)²
11664r = 2916r²
r = 11664/2916
r = 4 cm.
Therefore, area inscribed green circle is;
πr²
= π(4²)
= 16π cm²
