Mathematics Question and Solution
Calculating Silver Area.
a² = 6²+(0.5*16)²
a = √(100)
a = 10 cm.
a is the radius of the inscribed sector.
tanb = 8/6
b = atan(4/3)°
c = 2b
c = 2atan(4/3)°
c is the angle of the inscribed sector.
Area silver is;
Area square with side length 16 cm - Area rectangle with length 8 cm and width 6 cm - Area sector with radius 10 cm and angle 2atan(4/3).
= (16*16)-(8*6)-(2atan(4/3)π*10*10/360)
= 256-48-(5atan(4/3)π/9)
= 208-(5atan(4/3)π/9)
= ⅑(1872-(5atan(4/3)π)) cm²
= 115.2704781998 cm²
