Mathematics Question and Solution
Notice;
Red circle and black circle are congruent, they have equal radius, 1 cm.
Calculating Area Shaded.
a = 60-45
a = 15°
It implies;
Area Shaded is;
Area sector with radius 1 cm and angle 60° - Area triangle with base 1 cm and height sin60° + Area sector with radius 1 cm and angle 15°
= (60π/360) - ½(sin60) + (15π/360)
= (π/6)-¼(√(3))+(π/24)
= (4π-6√(3)+π)/24
= (5π-6√(3))/24 cm²
= 0.2214857676 cm²
