carson5238
02.01.2020 •
Mathematics
Find the area of the shaded region of the circle. round to the nearest hundredth.
160.78
615.75
547.62
454.97
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Ответ:
Area of shaded region is 454.97
Step-by-step 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
Ответ:
454.97 unit^2.
Step-by-step 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.
Ответ: