You are re-tiling the entry to your home and want to create a fancy circular medallion in the center. you want to create a large circle with a smaller circle centered inside. you want to tile the large circle with blue tile and the smaller circle with yellow tile. the circumference of the large circle is 113.097 inches and the radius of the smaller circle is 7 inches. how much blue tile do you need (in square inches)?

Are needed of blue tile

Step-by-step explanation:

we know that

To find how much blue tile do you need, subtract the area of the smaller circle from the area of the large circle

step 1

Find the radius of the large circle

The circumference of the circle is equal to

we have

substitute and solve for r

assume

step 2

Find the area of the large circle

we have

substitute

step 3

Find the area of the smaller circle

we have

substitute

step 4

Find the difference of the areas

assume

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.