The area of the shaded region in the adjoining figure is

$${a^2}\left( {\pi - 1} \right)sq.units$$

$${a^2}\left( {\frac{\pi }{2} - 1} \right)sq.units$$

$$\frac{{{a^2}}}{2}\left( {\pi - 1} \right)sq.units$$

$$\frac{{{a^2}}}{2}\left( {\frac{\pi }{2} - 1} \right)sq.units$$

The area of the shaded region in the adjoining figure is
Area mcq question image Correct Answer $${a^2}\left( {\frac{\pi }{2} - 1} \right)sq.units$$

Area of the shaded region = Area of the semi-circle with radius a units $$-$$ Area of the triangle with base 2a units and height a units
$$\eqalign{ & = \left( {\frac{{\pi {a^2}}}{2} - \frac{1}{2} \times 2a \times a} \right)sq.units \cr & = \left( {\frac{{\pi {a^2}}}{2} - {a^2}} \right)sq.units \cr & = {a^2}\left( {\frac{\pi }{2} - 1} \right)sq.units \cr} $$

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Feb 20, 2025

Arithmetic Ability
Area

The area of the shaded region in the adjoining figure is

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