a square of side 4cm is inscribed in a circle find the area enclosed between the circle and the - Maths - Areas Related to Circles

Question

a square of side 4cm is inscribed in a circle find the area
enclosed between the circle and the square

Mayank Bhardwaj · Accepted Answer

Side of the square = 4 cm

Diagonal of the square = $4 \sqrt{2} c m$

Since the square is inscribed in the circle, its diagonal will be equal to the diameter of the circle.

Diameter of the circle = $4 \sqrt{2} c m$

Radius of the circle (R) = $\frac{4 \sqrt{2}}{2} c m = 2 \sqrt{2} c m$

Area of the square = (4cm )² = 16 cm²

Area of the circle = $π r^{2} = π ({2 \sqrt{2})}^{2} c m^{2} = 3.14 \times 8 c m^{2} = 25.12 c m^{2}$

Area enclosed between the square and the circle = (25.12 – 16) cm²= 9.12 cm²

a square of side 4cm is inscribed in a circle. find the area enclosed between the circle and the square