90.4k views
0 votes
Shaded region help please

Shaded region help please-example-1
User UrsaDK
by
6.8k points

1 Answer

2 votes
-----------------------------------------------
Radius of the whole circle :
-----------------------------------------------
Radius of the whole circle = (4÷2) + 2
Radius of the whole circle = 4

-----------------------------------------------
Area of the whole circle :
-----------------------------------------------
Area of the whole circle = πr²
Area of the whole circle= π(4)²
Area of the whole circle= 16π cm²

-----------------------------------------------
Radius of the inner unshaded circle :
-----------------------------------------------
Radius of the inner unshaded circle = 4 ÷ 2
Radius of the inner unshaded circle= 2

-----------------------------------------------
Area of the inner unshaded circle :
-----------------------------------------------
Area of the inner unshaded circle = πr²
Area of the inner unshaded circle= π(2)²
Area of the inner unshaded circle = 4π m²


-----------------------------------------------
Area of the shaded region :
-----------------------------------------------
Area of the shaded region = 16π - 4π
Area of the shaded region = = 12π or 37.70 m² (nearest hundredth)

-----------------------------------------------
Answer: 37.70m²
-----------------------------------------------
User Chazkii
by
7.5k points