Find the area of the shaded region of the circle. Round to the nearest hundredth. 160.78 615.75 547.62 454.97
Mathematics
grellen2000
Question
Find the area of the shaded region of the circle. Round to the nearest hundredth.
160.78
615.75
547.62
454.97
160.78
615.75
547.62
454.97
2 Answer

1. User Answers Favouredlyf
Answer:Area of shaded region is 454.97
Stepbystep explanation:
The formula for determining the area of a circle is expressed as
Area of circle = πr^2
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
r = 14
Area of the circle = 3.14 × 14^2 = 615.44
The shaded area is a sector
Area of a sector is expressed as
Area = #/360 × πr^2
Where
# = 94 = central angle
Area of sector = 94/360 × 3.14 × 14
= 160.68
Area of shaded region would be
615.44  160.68
= 454.97

2. User Answers PollyP52
Answer:
454.97 unit^2.
Stepbystep explanation:
The area of the whole circle = pi r^2
= 14^2 pi.
As there are 360 degrees in a circle the area of the shaded region , by proportion = [ (360  94) / 360 ] * 14^2 pi
= 454.972 unit^2.