Help me with this radius and area work

1. This question seems to already have the answer. The radius of the circle is the distance from the center of the circle to any point on the circle.

2. $65.91

3. 36.04cm

Step-by-step explanation:

2. First, you neeed to solve for the circumference of the circle to determine how much fencing you will need. To do this, use the formula C=2πr and insert the given radius of 3.8 into the equation.

C = 2 * pi * 3.8

C = 23.88

Then, to find the total cost, multiply the circumference by the price per meter of fencing.

23.88 * 2.76 = 65.91

3. First, you have to find the total area of the circle so you can work backwards to find the diameter. To do this, since there are 12 slices, multiply the area of each slice by 12.

85 * 12 = 1020

So 1020 is the area of the circle. The formula to find the area of a circle is A = πr^2. So we need to use that equation to find the radius, so we can double it to get the diameter.

We know the area is 1020 so we set that to A.

1020 = pi(r^2)

Divide both sides by pi.

1020/pi = r^2

Then square root both sides.

sqrt(1020/pi) = r

r = 18.02

Then, since diameter is r*2, you can just multiply 18.02 * 2 to get the diameter.

d = 18.02 * 2

d = 36.04

Hope this helps.

6 cm

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)