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.

1. 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.
2. 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.

1. 3π feet, approximately 9.425 feet

2. 2.25π feet, approximately 7.069 feet

Step-by-step explanation:

If the diameter is 3, the radius is half of that, so it's 1.5 feet.

1. The distance around the outside is also known as the circumference, and the formula is

C = 2πr

  = 2π(1.5)

  = 3π feet = approximately 9.425 feet

2. The space that needs to be covered is also known as the area, and the formula is

A = πr^2

  = π1.5^2

  = 2.25π feet = approximately 7.069 feet

1. Exact distance: 9.42477796077; approximate distance: 9.42

2. exact area: 7.07; approximate area: 7.06858

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step-by-step explanation: