Question

6. A square is inscribed in a circle. The sic

length of the square is 4 centimeters,
Calculate the area of the shaded region.

Answer 1

9.13 cm^2.

Explanation:

The diagonal of the square = the diameter of the circle.

The length of the diagonal = 4√2 cm (because we have a 45-45-90 triangle), so the radius of the circle is half of this = 2√2 cm.

The area of the shaded part = area of the circle - area of the square

= π (2√2)^2 - 4^2

= 25.13 - 16

= 9.13 cm^2.