Find the area of the shaded region in the figure below, if the radius of the outer circle is 12 and the radius of the inner circle is 8. Keep your answer is terms of n

339.29

Step-by-step explanation:

total circle area = 452.39

why?

because area of circle equation = pi * r^2

pi is the weird symbol. pi = 3.14

r = radius

r = 12

3.14 * 12^2 = 452.389342

simplified to 452.39.

but that is the whole thing.

we want only the shaded area.

first we will find the area the not shaded bit. then we will minus the total area, 452.39, by the not shaded bit so we only have the shaded bit.

again, area of circle equation = pi * r^2

r = 6.

3.14 * 6^2 = 113.097336

this is the not shaded bit. it can be simplified to 113.1

total area - not shaded bit = shaded bit

452.39 - 113.1 = 339.29

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: