Mathematics Question and Solution
Calculating Area Blue Circle.
Notice.
10 units is the side length of the square.
a = (10+2x) units.
b = ½(a)
b = ½(10+2x)
b = (5+x) units.
b is the radius of the blue circle.
c = b-2x
c = 5+x-2x
c = (5-x) units.
d = ½(10)
d = 5 units.
Calculating x.
b² = c²+d²
(5+x)² = (5-x)²+5²
25+10x+x² = 25-10x+x²+25
20x = 25
x = 1.25 units.
Recall.
b = (5+x)
And x = 1.25 units.
b = 5+1.25
b = 6.25 units.
Again, b is the radius of the blue circle.
Therefore, Area Blue Circle is;
πb²
= π(6.25)²
= 625π/16 square units.
= 122.718463031 square units.
