A circle with radius of 3 cm sits inside a circle with radius of 11 cm.
Sum
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
HELP ASAP

The area of the shaded region is 351.68cm²

Step-by-step explanation:

To solve this problem we need calculate both areas of the circles

To solve this problem we need to use the area formula of a circle:

a1 = area

r = radius = 3cm

π = 3.14

a1 = π * r²

we replace with the known values

a1 = 3.14 * (3cm)²

a1 = 3.14 * 9cm²

a1 = 28.26 cm²

The area of the smaller circle is 28.26 cm²

a2 = area

r = radius = 11cm

π = 3.14

a2 = π * r²

a2 = π * r²

we replace with the known values

a2 = 3.14 * (11cm)²

a2 = 3.14 * 121cm²

a2 = 379.94 cm²

The area of the bigger circle is 379.94 cm²

we subtract the smallest circle from the biggest

379.94 cm²  - 28.26 cm²  = 351.68cm²

The area of the shaded region is 351.68cm²

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:

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