Mathematics Question and Solution
a = ½(8+2)
a = 5 cm.
a is the radius of the ascribed semi circle.
b = 8
2 = b. Cross Multiply.
b² = 16
b = 4 cm.
Therefore, area Blue is;
½(8*4)
= ½(32)
= 16 cm²
Calculating Area Red.
tanc = 4/3
c = atan(4/3)°
d = (180-c)
d = (180-atan(4/3))°
Area Red is;
Area sector with radius 5 cm and angle (180-atan(4/3))° - Area triangle with height 5 cm and base 5sin(180-atan(4/3)) cm.
= ((180-atan(4/3))π*25/360) - (0.5*25sin(180-atan(4/3)))
= 27.6787179449-10
= 17.6787179449 cm²
It implies;
Area Blue ÷ Area Red is;
16÷17.6787179449
= 0.9050430042
= 0.91 to 2 decimal places.
