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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

1886.92 km ^2

Step-by-step explanation:

means:

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

area =

=

radius = diameter / 2

the radius will be (50.8 + 9.9 * 2) / 2

radius = 35.3 km

now put this value into the formula

=3912.7226

to 2dp

area = 3912.72 km^2

radius = diameter / 2

radius will be 50.8 / 2

radius = 25.4 km

now put this value into the formula

= 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

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: