A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside the pit with sand. The homeowner has decided to build the pit with a diameter of 3 feet.

In order to know how many bricks to buy, the homeowner must know the distance around the outside of the pit. Calculate both the exact distance and the approximate distance.
In order to know how much sand to buy, the homeowner must know how much space needs to be covered inside the pit. Calculate both the exact area and the approximate area.

Distance around the outside of the pit

= 3π feet = about 9.42 feet

How much space needs to be covered inside the pit

= 2.25π feet = about 7.07 feet

Step-by-step explanation:

Let's get the radius first so we can use it later.

Radius:

diameter = 2radius

3 = 2r

r = 3/2 ft

The distance around the outside of the pit is also known as the circumference. Let's find that next.

Circumference:

C = 2πr

   = 2π(3/2)

   = 3π feet = about 9.42 feet

How much space needs to be covered inside the pit is another way to ask for area, so let's do that now.

Area:

A = πr^2

   = π(3/2)^2

   = 2.25π feet = about 7.07 feet

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: