Mathematics Question and Solution
Calculating Area Blue.
Inspection of the composite plane shape ascribing by a square result to the derivation of 4 equal segments white inscribed areas with base length 10 units each.
c² = 2(5)²
c = 5√(2) units.
c is the radius of the sector (quarter circle) that the 4 congruent segments is inscribing.
90° is the angle of the sector (quarter circle) that the 4 congruent segments is inscribing considering the given composite plane shape..
It implies, blue area is;
Area square with side length 10 units - 4(area quarter circle with radius 5√(2) units - area triangle with height and base 5√(2) units respectively)
(10*10)-4((¼*π(5√(2))²)-(½*(5√(2))²))
= 100-(50π-100)
= 100-50π+100
= 200-50π
= 50(4-π) square units.
= 42.9203673205 square units.
