Respuesta :

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:

area of the shaded region

means:

area of the full circle (white circle + purple circle) - area of the white circle

formula of area of a circle :

area = [tex]\pi r^{2}[/tex]

area of the full circle ( white circle + purple circle)

= [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

area of the white circle

[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

= 1886.92 km ^2

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