Question

I need help on this

A quarter circles fits exactly into a square of side 4 cm, as shown.

Determine the area of the shaded region, giving your answer correct to 3 significant figures.

Answer 1

Side of square = Radius of circle = 4cm

Area of full circle

= πr²

= (22/7) × 4cm × 4cm

= 352/7 cm²

Area of the quarter of circle

= Area of full circle/4

= (352/7)/4

= (352/7) × (1/4)

= 352/28

= 12.571 {approximately}