Mathematics Question and Solution
Calculating R, the radius of the blue circle.
a = ½(4)
a = 2 units.
b = 9-a
b = 9-2
b = 7 units.
c²+2² = R²
c = √(R²-4) units.
d = 7-c
d = (7-√(R²-4)) units.
It implies R, radius of the blue circle is;
R² = b²+d²
R² = 7²+(7-√(R²-4))²
R² = 49+49-14√(R²-4)+R²-4
0 = 98-14√(R²-4)-4
14√(R²-4) = 94
7√(R²-4) = 47
49(R²-4) = 2209
49R²-196 = 2209
49R² = 2405
R² = 2405/49
R = √(2405/49)
R = ⅐√(2405) units.
R = 7.00582847728 units.
