Question

In the following figure, PQRS is a square of side 4 cm. Find the area of the shaded square.​

Answer 1

Answer:

The area of shaded region is (16 - 2π) cm².

Step-by-step explanation:

Given :

Side of a square, PQRS = 4 cm

Radius of quadrant = 1 cm  

Diameter of the circle = 2 cm

Radius of the circle = 2/2 = 1 cm

Area of square, A1 = side ²

A1 = 4 × 4 = 16  

A1 = 16 cm²

Area of square = 16 cm²

Area of quadrant,A2 = ¼ πr²

A2 = ¼ × π× 1² = π/4  

A2 = π/4  

Area of quadrant = π/4 cm²

Area of circle, A3 = πr²

A3 = π× 1²  

A3 = π

Area of circle = π  cm²

Area of shaded region,A = Area of a square - (Area of four quadrant + Area of circle)  

A = A1 - (4 × A2 + A3)

A = 16 - (4× π/4 + π)

A = 16 - (π + π)

A = (16 - 2π) cm²

Area of shaded region = (16 - 2π) cm²

Hence, the area of shaded region is (16 - 2π) cm².

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Answer 2

Answer:

16-2π

Step-by-step explanation:

is the correct answer