Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let r be the radius of the circle.
Calculating r.
5.5²+(√(r²-2.5²)-4)² = r²
r = ½(5√(5)) units.
a = √((5√(5)/2)²-(5/2)²)-4)²
a = 1 unit.
b = 180-atan(½)-atan(11/2)
b = 73.73979529169°
It implies;
Shaded area exactly in decimal square units is;
Area sector with radius ½(5√(5)) units and angle 73.73979529169° - Area triangle with height ½(5√(5)) units and base ½(5√(5))sin73.73979529169 units.
= 20.10940964979 - 15
= 5.10940964979 square units.
= 223427433/43728620 square units exactly is fraction.
