What’s the area of the shaded region? Given that the side of the square = 1 un

Question

What’s the area of the shaded region? Given that the side of the square = 1 unit.

Options:

A .

\frac{π}{2}

B .

\frac{1}{2}

C . (

\frac{π}{4}

) - (

\frac{1}{2}

)

D . (

\frac{π}{2}

) - 1

Answer: Option D
:
D

Ans: d)

Soln: Consider the double shaded area.

Area: (Area of quadrant) – (Area of triangle).

( $\frac{π}{4}$ )-( $\frac{1}{2}$ x 1 x 1). Total shaded area is twice of this

= 2 ( $\frac{π}{4}$ ) - ( $\frac{1}{2}$ x 1 x 1); = $\frac{π}{2}$ -1,

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