The area of the shaded region in the figure given below

Home » Aptitude » Mensuration » Question

Using Rule 1 and 14,

Let Radius of circle = a units \ Area of semi circle

=	πa²	sq. units
	2

Both triangles ∆ ABC and ∆ BCD are isosceles and equal.

∴ Area of each triangle =	1	a²
	2

⇒ Area of both triangles = 2 ×	1	a² = a² sq. units
	2

∴ Area of shaded region =	πa²	- a² = a²		π	- 1		sq. units
	2			2