The answer an example how to do it

≈ 1347 mi²

Step-by-step explanation:

The shaded area is the difference between the outer area and the inner area

shaded area = outer - inner

                     = πr₁² - πr₂²

where r₁ = 14 + 11 = 25 and r₂ = 14, thus

A = π × 25² - π × 14² = 625π - 196π = 429π = 429 × 3.14 ≈ 1347 mi²

Step-by-step explanation:

Area of the shaded region = Area of the Outer circle - Area of the inner circle

Outer circle:

r = 14+11 = 25 mi

Area = πr² = π*25²

Inner Circle:

r = 14 mi

Area = πr² = π*14²

Area of shaded region = π*25² - π*14²= π(25² - 14²)

= 3.14*(625 - 196)

=3.14*429

= 1347.06 mi²

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry