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Answer: Area of shaded region is
1886.92 km²
Step-by-step explanation:
The given figure is made up of an inner and an outer circle. The area of the shaded part would be
Area of outer circle - area of inner circle
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents radius of the circle
π is a constant whose value is 3.14
Considering the inner circle,
Diameter = 50.8km
Radius = diameter/2 = 50.8/2 = 25.4km
Area = 3.14 × 25.4² = 2025.8024km²
Considering the outer circle,
Diameter = 50.8 + 9.9 + 9.9 = 70.6km
Radius = 70.6/2 = 35.3km
Area = 3.14 × 35.3² = 3912.7226km²
Area of shaded region
= 3912.7226 - 2025.8024 = 1886.92 km² to the nearest hundredth
Answer:
1886.92 km ^2
Step-by-step explanation:
means:
area of the full circle (white circle + purple circle) - area of the white circle
area = [tex]\pi r^{2}[/tex]
= [tex]\pi r^{2}[/tex]
radius = diameter / 2
the radius will be (50.8 + 9.9 * 2) / 2
radius = 35.3 km
now put this value into the formula
[tex]3.14 *35.3^{2}[/tex]
=3912.7226
to 2dp
area = 3912.72 km^2
[tex]\pi r^{2}[/tex]
radius = diameter / 2
radius will be 50.8 / 2
radius = 25.4 km
now put this value into the formula
[tex]3.14 *25.4^{2}[/tex]
= 2025.8024
to 2dp
area = 2025.80 km^2
use the formula we created in the beginning to find the area of the shaded region :
area of the full circle (white circle + purple circle) - area of the white circle
= 3912.72- 2025.80