Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
7th April, 2024

a² = 2²+4²

a = √(20) cm.

a is radius OA = OB.


tanb = 4/2

b = atan(2)°


c = atan(½)°


d = 180-b-c

d = 180-atan(2)-atan(½)

d = 90°

d is the angle subtended by chord AB and the radius (OA and OB) of the sector.


Area yellow is;


(90π*√(20)²/360)-(½*√(20)²*sin90)

= 5π-10

= 5(π-2) cm²

= 5.7079632679 cm²

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