Mathematics Question and Solution
Shaded area will be;
Area quarter circle of radius 2 unit + 2(area quarter circle of radius √(2) unit - area triangle of height and base √(2) unit respectively).
= ¼(4π) + 2(¼(2π) - ½(2))
= π + π - 2
= 2(π-1) square units.
Or
a² = 2(2)²
a = √(8)
a = 2√(2) units.
b = ½(a)
b = √(2) units
Shaded Area is;
Area semi circle with radius √(2) units - Area isosceles right-angled triangle with adjacent sides 2 units each + Area quarter circle with radius 2 units.
(½*π*√(2)²)-(½*2²)+(¼*π*2²)
= π-2+π
= 2π-2
= 2(π-1) square units.
